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#include <bits/stdc++.h> using namespace std; int n, t, i, ans, j; string s, s1; map<string, int> m; string a[20], b[20]; bool f[20][20], v[20]; void dfs(int o) { if (o > n) { int p = 0; for (i = 1; i <= n; ++i) { if (!v[i]) continue; p++; for (j = 1; j <= n; ++j) { if (!v[j]) continue; if (f[i][j]) return; } } if (p > ans) { int oo = 0; ans = p; for (i = 1; i <= n; ++i) { if (v[i]) b[oo++] = a[i]; } } return; } v[o] = 1; dfs(o + 1); v[o] = 0; dfs(o + 1); } int main() { scanf("%d%d", &n, &t); for (i = 1; i <= n; ++i) { cin >> s; m[s] = i; a[i] = s; } for (i = 1; i <= t; ++i) { cin >> s >> s1; f[m[s]][m[s1]] = 1; f[m[s1]][m[s]] = 1; } dfs(1); printf("%d\n", ans); sort(b, b + ans); for (i = 0; i < ans; ++i) { cout << b[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; bool G1[20][20]; bool flag[20]; bool t[20]; bool Ans[20]; int ans; void DFS(int n, int cur, int sum) { if (n < cur) { if (sum > ans) { ans = sum; for (int i = 1; i <= n; ++i) Ans[i] = t[i]; } return; } if (!flag[cur]) { queue<int> temp; flag[cur] = 1; t[cur] = 1; for (int i = 1; i <= n; ++i) { if (!flag[i] && G1[cur][i]) { flag[i] = 1; temp.push(i); } } DFS(n, cur + 1, sum + 1); flag[cur] = 0; t[cur] = 0; while (!temp.empty()) { int u = temp.front(); temp.pop(); flag[u] = 0; } } DFS(n, cur + 1, sum); } int main() { int n, m; string name[20]; while (cin >> n >> m) { ans = 0; memset(G1, 0, sizeof(G1)); memset(flag, 0, sizeof(flag)); for (int i = 1; i <= n; ++i) cin >> name[i]; sort(name + 1, name + n + 1); string a, b; while (m--) { cin >> a >> b; int u, v; for (int i = 1; i <= n; ++i) { if (a == name[i]) u = i; if (b == name[i]) v = i; } G1[u][v] = G1[v][u] = 1; } DFS(n, 1, 0); cout << ans << endl; for (int i = 1; i <= n; ++i) { if (Ans[i]) cout << name[i] << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; bool check(vector<string> &v, map<string, vector<string> > &mp) { for (int i = 0; i < v.size(); i++) { if (mp.find(v[i]) != mp.end()) { auto it = mp.find(v[i]); vector<string> v1 = it->second; for (int j = 0; j < v1.size(); j++) { for (int k = 0; k < v.size(); k++) { if (v1[j] == v[k]) return false; } } } } return true; } int main() { int n, m; cin >> n >> m; vector<string> v, v_max; for (int i = 1; i <= n; i++) { string s; cin >> s; v.push_back(s); } map<string, vector<string> > mp; int mx = 0; for (int i = 1; i <= m; i++) { string s, t; cin >> s >> t; mp[s].push_back(t); } int counter = (1 << n) - 1; for (int c = 0; c <= counter; c++) { vector<string> v1; for (int j = 0; j < v.size(); j++) { if (c & (1 << j)) v1.push_back(v[j]); } if (check(v1, mp)) { if (v1.size() > mx) { mx = v1.size(); v_max = v1; } } } sort(v_max.begin(), v_max.end()); cout << mx << "\n"; for (int i = 0; i < v_max.size(); i++) cout << v_max[i] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; bool E[17][17]; map<string, int> M; void edge(int x, int y) { E[x][y] = E[y][x] = true; } vector<string> nom; vector<int> v, ans; int n, m; bool compara(int x, int y) { return nom[x] < nom[y]; } bool val() { for (int j = 0; j < v.size(); j++) for (int k = j + 1; k < v.size(); k++) if (E[v[j]][v[k]]) return false; return true; } char cad[20], cad1[20]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) scanf("%s", cad), M[string(cad)] = i, nom.push_back(string(cad)); for (int i = 0; i < m; i++) scanf("%s%s", cad, cad1), edge(M[string(cad)], M[string(cad1)]); int mayor = 0; for (int i = 1; i < (1 << n); i++) { v.clear(); for (int j = 0; j < n; j++) if ((i >> j) & 1) v.push_back(j); if (val()) { if ((int)v.size() > mayor) { mayor = (int)v.size(); ans.clear(); ans = v; } } } printf("%d\n", mayor); sort(ans.begin(), ans.end(), compara); for (int i = 0; i < ans.size(); i++) printf("%s\n", nom[ans[i]].c_str()); }
#include <bits/stdc++.h> using namespace std; int n, m; string members[16]; int hate[16][16] = {{0}}; int bitsIn(int x) { int bits = 0; int i = 0; while (x > 0) { if (x & 1) bits++; x = x >> 1; } return bits; } int solve(int member = 0, int mask = 0) { if (member == n) return mask; int takeMask = 0, leaveMask = 0; for (int i = 0; i < member; i++) { if (((mask & 1 << i) != 0) && hate[member][i]) { leaveMask = solve(member + 1, mask); return leaveMask; } } takeMask = solve(member + 1, mask | 1 << member); leaveMask = solve(member + 1, mask); int maxMask = bitsIn(takeMask) >= bitsIn(leaveMask) ? takeMask : leaveMask; return maxMask; } int main() { cin >> n >> m; for (int i = 0; i < n; i++) cin >> members[i]; for (int i = 0; i < m; i++) { string s1, s2; cin >> s1 >> s2; for (int j = 0; j < n; j++) { if (members[j] == s1) { for (int k = 0; k < n; k++) { if (members[k] == s2) { hate[j][k] = 1; hate[k][j] = 1; } } } } } int mask = solve(); cout << bitsIn(mask) << endl; string team[16]; int i = 0, j = 0; while (mask >= 1 << i) { if (mask & 1 << i) { team[j] = members[i]; j++; } i++; } sort(team, team + j); for (int i = 0; i < j; i++) cout << team[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; template <class TT> TT abs(TT a) { if (a < 0) return -a; return a; } template <class ZZ> ZZ max(ZZ a, ZZ b, ZZ c) { return max(a, max(b, c)); } template <class ZZ> ZZ min(ZZ a, ZZ b, ZZ c) { return min(a, min(b, c)); } map<string, int> mp; map<int, string> imp; bool mt[20][20]; vector<string> v; int main() { int i, j, k, tks, ks = 1, n, m, l; string ss, s; while (cin >> n >> m) { memset(mt, false, sizeof(mt)); mp.clear(); imp.clear(); k = 0; for (i = 0; i < n; i++) { cin >> s; imp[k] = s; mp[s] = k++; } while (m--) { cin >> s >> ss; mt[mp[s]][mp[ss]] = true; mt[mp[ss]][mp[s]] = true; } int kk = 0; for (i = 1; i < (1LL << n); i++) { l = 1; for (j = 0; j < n; j++) if (l) for (k = 0; k < n; k++) if ((i & (1LL << j)) && (i & (1LL << k)) && mt[j][k]) { l = 0; break; } if (!l) continue; m = (__builtin_popcount(i)); if (m > kk) { kk = m; v.clear(); for (j = 0; j < n; j++) if ((i & (1LL << j))) v.push_back(imp[j]); } } cout << kk << endl; sort((v).begin(), (v).end()); for (i = 0; i < ((int)v.size()); i++) cout << v[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const double PI = 3.14159265358979; const double PI2 = 6.28318530717958; const double PId2 = 1.570796326794895; inline long long pw(long long n, int p) { long long ans = 1; for (int i = 0; i < p; i++) ans *= n; return ans; } inline vector<int> ReadVI(int count) { vector<int> arrayname(count); for (int i = 0; i < int(count); i++) cin >> arrayname[i]; return arrayname; }; inline vector<long long> ReadVlong(int count) { vector<long long> arrayname(count); for (int i = 0; i < int(count); i++) cin >> arrayname[i]; return arrayname; }; const int MOD = 100000000; const int MAXVALUE = 101; int n; vector<vector<int> > d; bool clique(int mask) { vector<int> a; for (int i = 0; i < n; i++) if (mask & (1 << i)) a.push_back(i); for (int i = 0; i < a.size(); i++) { for (int j = 0; j < a.size(); j++) if (d[a[i]][a[j]]) return false; } return true; } int cnt(int mask) { int r = 0; for (int i = 0; i < n; i++) if (mask & (1 << i)) r++; return r; } int main() { int k; cin >> n >> k; string t, t1; vector<string> names(n); map<string, int> a; for (int i = 0; i < n; i++) cin >> names[i]; sort(names.begin(), names.end()); for (int i = 0; i < n; i++) a[names[i]] = i; d = vector<vector<int> >(n, vector<int>(n, 0)); for (int i = 0; i < k; i++) { cin >> t >> t1; d[a[t]][a[t1]] = 1; d[a[t1]][a[t]] = 1; } int m = 0, ans = 0; for (int i = 1; i <= (1 << n); i++) { if (clique(i) && cnt(i) > m) m = cnt(i), ans = i; } cout << m << endl; for (int i = 0; i < n; i++) { if (ans & (1 << i)) cout << names[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 20; map<string, int> ms; vector<string> g; int e[N][N], a[N]; int main() { int n, m, sz = 1; cin >> n >> m; string s, s2; for (int i = 0; i < n; i++) { cin >> s; g.push_back(s); } sort(g.begin(), g.end()); for (int i = 0; i < n; i++) ms[g[i]] = i; memset(e, 0, sizeof(e)); while (m--) { cin >> s >> s2; int u = ms[s], v = ms[s2]; e[u][v] = e[v][u] = 1; } int all = (1 << n) - 1, k = 0, ans = 0, as; for (int s = all; s >= 0; s--) { k = 0; for (int i = 0; i < n; i++) { if ((1 << i) & s) a[k++] = i; } bool flag = 1; for (int i = 0; i < k; i++) { for (int j = i + 1; j < k; j++) { if (e[a[i]][a[j]]) { flag = 0; break; } } } if (flag) { if (k > ans) ans = k, as = s; } } printf("%d\n", ans); for (int i = 0; i < n; i++) { if ((1 << i) & as) cout << g[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; vector<string> anss; int ans; int combit(int n) { int k = 0; while (n) { k += (n % 2); n /= 2; } return k; } map<string, int> mp; int n, m; string s, x, y, name[1111]; bool g[111][111], flag; int main() { cin >> n >> m; for (int i = 0; i < n; i++) { cin >> s; name[i] = s; mp[s] = i; } for (int i = 1; i <= m; i++) { cin >> x >> y; g[mp[x]][mp[y]] = g[mp[y]][mp[x]] = 1; } for (int state = 0; state < (1 << n); state++) { if (combit(ans) >= combit(state)) continue; flag = 0; for (int i = 0; i < n; i++) { for (int j = i + 1; j < n; j++) { if ((state & (1 << i)) && (state & (1 << j)) && g[i][j]) flag = 1; } } if (!flag) ans = state; } for (int i = 0; i < n; i++) { if (ans & (1 << i)) anss.push_back(name[i]); } sort(anss.begin(), anss.end()); cout << anss.size() << endl; for (int i = 0; i < anss.size(); i++) { cout << anss[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; string S[17], s, first, second; int A[17]; map<string, int> M; vector<set<int> > V(16); vector<int> Sol, cur; void Solve(int i) { if (i == n) { if (cur.size() > Sol.size()) Sol = cur; return; } bool Can = true; for (int j = 0; j < (int)cur.size(); j++) { if (V[cur[j]].find(i) != V[cur[j]].end()) Can = false; } if (Can) { cur.push_back(i); Solve(i + 1); cur.pop_back(); } Solve(i + 1); } int main() { ios::sync_with_stdio(false); cin >> n >> m; int idx = 1; for (int i = 0; i < (int)n; i++) { cin >> S[i]; M[S[i]] = i; } while (m--) { cin >> first >> second; V[M[first]].insert(M[second]); V[M[second]].insert(M[first]); } Solve(0); vector<string> Res; cout << Sol.size() << endl; for (int i = 0; i < (int)Sol.size(); i++) { Res.push_back(S[Sol[i]]); } sort(Res.begin(), Res.end()); for (int i = 0; i < (int)Sol.size(); i++) { cout << Res[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; long long g[20][20]; void solve() { long long n, m; cin >> n >> m; map<long long, string> mp; map<string, long long> inv; for (long long i = 0; i < n; ++i) { string s; cin >> s; mp[i] = s; inv[s] = i; } for (long long i = 0; i < m; i++) { string a, b; cin >> a >> b; g[inv[a]][inv[b]] = 1; g[inv[b]][inv[a]] = 1; } vector<string> anss; for (long long mask = 0; mask < (1 << n); mask++) { bool ans = true; for (long long i = 0; i < n; i++) { for (long long j = 0; j < n; j++) { if (((1 << i) & mask) and ((1 << j) & mask) and g[i][j]) { ans = false; break; } } } if (ans and __builtin_popcount(mask) > anss.size()) { anss.clear(); for (long long i = 0; i < n; i++) if (mask & (1 << i)) anss.push_back(mp[i]); } } sort(anss.begin(), anss.end()); cout << anss.size() << '\n'; for (auto x : anss) cout << x << '\n'; } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); long long t = 1; while (t--) solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m; cin >> n >> m; vector<string> names; string tmp; for (int i = 0; i <= n - 1; i++) { cin >> tmp; names.push_back(tmp); } sort(names.begin(), names.end()); map<string, int> mp; for (int i = 0; i <= n - 1; i++) mp[names[i]] = i; vector<int> bad; for (int i = 0; i <= m - 1; i++) { bad.push_back(0); cin >> tmp; bad[i] = 1 << mp[tmp]; cin >> tmp; bad[i] |= 1 << mp[tmp]; } int j; int ans = 0; for (int i = (1 << n) - 1; i >= 0; i--) { for (j = 0; j <= m - 1; j++) if ((i & bad[j]) == bad[j]) break; if (j == m && __builtin_popcount(ans) < __builtin_popcount(i)) ans = i; } cout << __builtin_popcount(ans) << endl; for (int i = 0; i <= n - 1; i++) if (ans & (1 << i)) cout << names[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { if (a == 0) return b; return gcd(b % a, a); } long long lcm(long long a, long long b) { return (a * b) / gcd(a, b); } long long power(long long x, long long y) { long long res = 1; while (y > 0) { if (y & 1) res = res * x; y = y >> 1; x = x * x; } return res; } void dfs(long long src, bool visited[], vector<long long> adj[], vector<long long> &v) { visited[src] = true; v.push_back(src); for (auto i : adj[src]) { if (!visited[i]) dfs(i, visited, adj, v); } } int main() { int n, m; cin >> n >> m; vector<string> s(n); for (int i = 0; i < n; i++) { cin >> s[i]; } sort(s.begin(), s.end()); int no[n][n]; memset(no, 0, sizeof(no)); map<string, int> mp; for (int i = 0; i < n; i++) { mp[s[i]] = i; } vector<pair<int, int>> pp(m); for (int i = 0; i < m; i++) { string s, t; cin >> s >> t; int x = mp[s]; int y = mp[t]; no[x][y] = 1; no[y][x] = 1; } vector<int> v, ans; for (int i = 0; i < 1 << n; i++) { for (int j = 0; j < n; j++) if (i & (1 << j)) v.push_back(j); int temp = 1; for (int j = 0; j < v.size(); j++) { for (int k = j + 1; k < v.size(); k++) { if (no[v[j]][v[k]] == 1) { temp = 0; break; } } } if (temp and v.size() > ans.size()) { ans = v; v.clear(); } else { v.clear(); } } cout << ans.size() << endl; for (int i = 0; i < ans.size(); i++) { cout << s[ans[i]] << endl; } }
#include <bits/stdc++.h> using namespace std; void File_input() { freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); } void FastInputOutput() { ios_base ::sync_with_stdio(0); cin.tie(0); cout.tie(0); } void Do_stress() { srand(time(0)); freopen("D:/ACM/submit6/input.txt", "w", stdout); } int n, m; vector<string> names; string str, hat; map<string, vector<string> > vec; int main() { FastInputOutput(); cin >> n >> m; for (int i = 0; i < n; i++) { cin >> str; names.push_back(str); } for (int i = 0; i < m; i++) { cin >> str >> hat; vec[str].push_back(hat); vec[hat].push_back(str); } vector<string> ans, fin; int Max = 0; for (int i = (1 << n) - 1; i >= 0; i--) { for (int j = 0; j < n; j++) { if (i & (1 << j)) { if ((int)ans.size() == 0) { ans.push_back(names[j]); } else { bool can = 1; for (int c = 0; c < (int)ans.size(); c++) { for (int c1 = 0; c1 < (int)vec[names[j]].size(); c1++) { if (vec[names[j]][c1] == ans[c]) { can = 0; break; } } if (!can) { break; } } if (can) ans.push_back(names[j]); } } } if (Max < (int)ans.size()) { fin.clear(); for (auto j : ans) fin.push_back(j); Max = (int)ans.size(); } ans.clear(); } sort(fin.begin(), fin.end()); cout << Max << "\n"; for (auto i : fin) { cout << i << "\n"; } }
#include <bits/stdc++.h> using namespace std; string name[16]; int nel[1000][2]; int n, m; int num(int i) { int kol = 0; while (i > 0) { if (i % 2 == 1) ++kol; i /= 2; } return kol; } bool check(int ch) { bool arr[16]; for (int i = 0; i < 16; ++i) arr[i] = 0; int i = 0; while (ch > 0) { arr[i++] = ch % 2; ch /= 2; } for (int i = 0; i < m; ++i) if (arr[nel[i][0]] && arr[nel[i][1]]) return false; return true; } int main() { cin >> n >> m; for (int i = 0; i < n; ++i) cin >> name[i]; for (int i = 0; i < m; ++i) { string s; int t1, t2; cin >> s; for (int j = 0; j < n; ++j) if (name[j] == s) t1 = j; cin >> s; for (int j = 0; j < n; ++j) if (name[j] == s) t2 = j; nel[i][0] = t1; nel[i][1] = t2; } int numm = 0, max = -1; for (int i = 0; i < 1 << n; ++i) { if (check(i) && num(i) > max) max = num(i), numm = i; } cout << max << endl; int i = 0; vector<string> otv; while (numm > 0) { if (numm % 2 == 1) otv.push_back(name[i]); numm /= 2; ++i; } sort(otv.begin(), otv.end()); for (int i = 0; i < otv.size(); ++i) cout << otv[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 16 + 5; int n, m; vector<string> V(N); vector<vector<string>> F; vector<int> res; void bt(vector<int> &tmp, int idx) { if (idx >= m) { if (tmp.size() > res.size()) res = tmp; return; } int f1 = -1, f2 = -1; for (int i = 0; i < tmp.size(); i++) { if (V[tmp[i]] == F[idx][0]) f1 = i; if (V[tmp[i]] == F[idx][1]) f2 = i; } if (!(f1 != -1 && f2 != -1)) bt(tmp, idx + 1); else { int t = tmp[f1]; swap(tmp[f1], tmp[(int)tmp.size() - 1]); tmp.pop_back(); bt(tmp, idx + 1); tmp.push_back(t); swap(tmp[f1], tmp[(int)tmp.size() - 1]); t = tmp[f2]; swap(tmp[f2], tmp[(int)tmp.size() - 1]); tmp.pop_back(); bt(tmp, idx + 1); tmp.push_back(t); swap(tmp[f2], tmp[(int)tmp.size() - 1]); } } void solve() { cin >> n >> m; for (int i = 0; i < n; i++) cin >> V[i]; for (int i = 0; i < m; i++) { string a, b; cin >> a >> b; F.push_back({a, b}); } vector<int> tmp; for (int i = 0; i < n; i++) tmp.push_back(i); bt(tmp, 0); vector<string> out; for (auto i : res) out.push_back(V[i]); sort(out.begin(), out.end()); cout << out.size() << endl; for (auto i : out) cout << i << "\n"; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; char str[100], str1[100]; map<string, int> mymap; int adj[20][20]; int bitone(int num) { int sum = 0; while (num) { num = num & (num - 1); sum++; } return sum; } bool judge(int t, int n) { int res[20]; int j = 0; for (int i = 0; i < n; i++) { if (t & (1 << i)) { res[j++] = i; } } for (int i = 0; i < j; i++) { for (int k = 0; k < j; k++) { if (adj[res[i]][res[k]]) { return false; } } } return true; } struct node { char s[100]; } st[20]; int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) { scanf("%s", str); mymap[str] = i; strcpy(st[i].s, str); } memset(adj, 0, sizeof(adj)); for (int i = 0; i < m; i++) { scanf("%s%s", str, str1); adj[mymap[str]][mymap[str1]] = 1; adj[mymap[str1]][mymap[str]] = 1; } int mx = 1 << n; int Max = 0; int pos = -1; for (int i = 0; i < mx; i++) { if (judge(i, n)) { int t = bitone(i); if (t > Max) { pos = i; Max = t; } } } printf("%d\n", Max); if (pos != -1) { int res[20]; int j = 0; for (int i = 0; i < n; i++) { if (pos & (1 << i)) { res[j++] = i; } } vector<string> myv; for (int i = 0; i < j; i++) { myv.push_back(st[res[i]].s); } sort(myv.begin(), myv.end()); for (int i = 0; i < myv.size(); i++) { cout << myv[i] << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; int bestTeam; void optimize() { ios_base::sync_with_stdio(false); cin.tie(NULL); } int nSetBits(int n) { unsigned int count = 0; while (n) { n &= (n - 1); count++; } return count; } int main() { optimize(); map<string, int> nameToInt; string name, names[17]; int i, j, n, m, forbidden[289] = {0}; cin >> n >> m; for (i = 0; i < n; names[i] = name, ++i) cin >> name; sort(names, names + n); for (i = 0; i < n; ++i) nameToInt[names[i]] = i; for (i = 0; i < m; ++i) { cin >> name; forbidden[i] |= 1 << nameToInt[name]; cin >> name; forbidden[i] |= 1 << nameToInt[name]; } for (int i = (1 << n) - 1; i > 0; --i) { for (j = 0; j < m; ++j) if ((forbidden[j] & i) == forbidden[j]) break; if (j == m && nSetBits(bestTeam) < nSetBits(i)) bestTeam = i; } cout << nSetBits(bestTeam) << "\n"; for (i = 0; i < n; ++i) if (bestTeam & (1 << i)) cout << names[i] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; int dX[] = {0, 0, 1, -1, 1, -1, 1, -1}; int dY[] = {1, -1, 0, 0, 1, -1, -1, 1}; int n, m; string names[20]; vector<int> path; vector<string> ans; map<pair<int, int>, bool> edge; map<string, int> ID; void check() { if ((ans.size()) > (path.size())) return; ans.clear(); for (int i = 0; i < (path.size()); ++i) ans.push_back(names[path[i]]); } void solve(int idx) { if (idx == n) { check(); return; } bool can = 1; for (int i = 0; i < (path.size()); ++i) if (edge.count({idx, path[i]})) { can = 0; break; } if (can) { path.push_back(idx); solve(idx + 1); path.pop_back(); } solve(idx + 1); } int main() { scanf("%d", &n); scanf("%d", &m); for (int i = 0; i < n; ++i) cin >> names[i], ID[names[i]] = i; for (int i = 0; i < m; ++i) { string s, t; cin >> s >> t; edge[{ID[s], ID[t]}] = 1; edge[{ID[t], ID[s]}] = 1; } solve(0); sort(ans.begin(), ans.end()); printf("%d\n", (ans.size())); for (int i = 0; i < (ans.size()); ++i) cout << ans[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { set<string> ans, cek; map<string, int> mp; vector<string> daftar; int n, m; int i, j, k, l; int ok = 1, mx = -1; string in, in1, in2; vector<pair<int, int> > dt; scanf("%d %d", &n, &m); daftar.resize(n); int id = n - 1; for (i = n - 1; i >= 0; i--) { cin >> in; mp[in] = i; daftar[i] = in; } if (m == 0) { printf("%d\n", n); for (map<string, int>::const_iterator it = mp.begin(); it != mp.end(); ++it) cout << it->first << endl; return 0; } for (i = 0; i < m; i++) { cin >> in1 >> in2; dt.push_back(make_pair(mp[in1], mp[in2])); } int bts = (int)(dt).size(); for (i = (1 << n) - 1; i >= 0; i--) { bitset<16> bb(i); ok = 1; for (j = 0; j < bts; j++) { if (bb[dt[j].first] && bb[dt[j].second]) { ok = 0; break; } } if (ok) { cek.clear(); for (k = 0; k < (int)(bb).size(); k++) { if (bb[k]) { cek.insert(daftar[k]); } } if ((int)(cek).size() > mx) { mx = (int)(cek).size(); ans = cek; } } } printf("%d\n", (int)(ans).size()); for (set<string>::const_iterator it = ans.begin(); it != ans.end(); ++it) cout << *it << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m; cin >> n >> m; map<string, int> nameMap; vector<int> markedPairs; vector<string> names; vector<string> sortedSubset; string name1, name2; for (int i = 0; i < n; i++) { cin >> name1; nameMap[name1] = i; names.push_back(name1); } for (int i = 0; i < m; ++i) { int pair = 0; cin >> name1 >> name2; pair = pair | (1 << nameMap[name1]); pair = pair | (1 << nameMap[name2]); markedPairs.push_back(pair); } int limit = 1 << n; int maxSubset = -1; int maxCounter = 0; for (int j = 0; j < limit; j++) { int subset = j; bool isValidSubset = true; for (int i = 0; i < m; ++i) { if ((markedPairs[i] & subset) == markedPairs[i]) { isValidSubset = false; break; } } if (isValidSubset) { int counter = __builtin_popcount(subset); if (counter > maxCounter) { maxSubset = subset; maxCounter = counter; } } } cout << maxCounter << endl; int k = 0; while (maxSubset) { if (maxSubset & 1) { sortedSubset.push_back(names[k]); } maxSubset >>= 1; k++; } sort(sortedSubset.begin(), sortedSubset.end()); for (int i = 0; i < maxCounter; i++) { cout << sortedSubset[i] << endl; } }
#include <bits/stdc++.h> using namespace std; string na[20], v, vi; int ed[20][20]; vector<string> cur, ans; map<string, int> nu; void test() { for (int i = 0; i < ((int)((cur).size())); ++i) for (int j = 1 + i; j < ((int)((cur).size())); j++) if (ed[nu[cur[j]]][nu[cur[i]]]) return; if (((int)((cur).size())) > ((int)((ans).size()))) ans = cur; } int main() { int n, m; cin >> n >> m; for (int i = 0; i < (int)(n); ++i) { cin >> na[i]; nu[na[i]] = i; } for (int i = 0; i < (int)(m); ++i) { cin >> v >> vi; ed[nu[v]][nu[vi]] = ed[nu[vi]][nu[v]] = 1; } for (int i = 0; i < (int)((1 << n)); ++i) { cur.clear(); for (int j = 0; j < (int)(n); ++j) if (i & (1 << j)) cur.push_back(na[j]); test(); } cout << ((int)((ans).size())) << endl; sort(((ans).begin()), ((ans).end())); for (int i = 0; i < ((int)((ans).size())); ++i) cout << ans[i] << endl; }
#include <bits/stdc++.h> using namespace std; template <class T> T abs(T x) { return x > 0 ? x : -x; } const double eps = 1e-9; const double pi = acos(-1.0); const long long inf = 1ll << 60; const int mod = 1e9 + 7; string s1, s2; map<string, int> id; map<int, string> name; bool M[18][18]; int main() { memset((M), (false), sizeof(M)); int n, m; scanf("%d %d", &n, &m); for (int i = 0; i < n; i++) cin >> s1, id[s1] = i, name[i] = s1; for (int i = 0; i < m; i++) cin >> s1 >> s2, M[id[s1]][id[s2]] = M[id[s2]][id[s1]] = true; pair<int, int> res = make_pair(-1, -1); bool ok; for (int i = 0, cnt = 0; i < (1 << n); i++, cnt = 0) { ok = true; for (int j = 0; j < n and ok; j++) if (i & (1 << j)) { for (int h = 0; h < n and ok; h++) if ((i & (1 << h)) and M[j][h]) ok = false; ++cnt; } if (ok and cnt > res.second) res.first = i, res.second = cnt; } vector<string> ans; for (int i = 0; i < n; i++) if (res.first & (1 << i)) ans.push_back(name[i]); sort((ans).begin(), (ans).end()); printf("%d\n", (int)(ans).size()); for (int i = 0; i < (int)(ans).size(); i++) cout << ans[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; bool agg[16][16]; int main() { int n, m, p, q; string a[16], x, y; cin >> n >> m; for (int i = 0; i < n; i++) cin >> a[i]; sort(a, a + n); for (int i = 0; i < m; i++) { cin >> x >> y; for (int j = 0; j < n; j++) if (x == a[j]) p = j; else if (y == a[j]) q = j; agg[p][q] = agg[q][p] = true; } vector<int> v, ans; int maxi = 0; bool ind = true; for (int i = 1; i < (2 << n); i++) { ind = true; for (int j = 0; j < n; j++) if ((i >> j) & 1) v.push_back(j); for (int j = 0; j < v.size(); j++) for (int k = j + 1; k < v.size(); k++) if (agg[v[j]][v[k]]) ind = false; if (ind) { if (maxi < v.size()) maxi = v.size(), ans = v; } v.clear(); } cout << maxi << endl; for (int i = 0; i < maxi; i++) { cout << a[ans[i]] << endl; } }
#include <bits/stdc++.h> const int N = 17; int a[N][N], n, m, best, bestn; std::string s, t, S[N]; char buff[20]; std::map<std::string, int> M; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) { scanf("%s", buff); s = buff; M[s] = i; S[i] = s; } for (int i = 0; i < m; ++i) { scanf("%s", buff); s = buff; scanf("%s", buff); t = buff; a[M[s]][M[t]] = a[M[t]][M[s]] = 1; } for (int i = 0; i < (1 << n); ++i) { bool bad = false; int num = 0; for (int j = 0; j < n; ++j) { if (i & (1 << j)) { for (int k = 0; k < n; ++k) { if (i & (1 << k)) { bad |= a[j][k]; } } num++; } } if (!bad && num > bestn) { best = i, bestn = num; } } std::vector<std::string> answer; for (int i = 0; i < n; ++i) { if (best & (1 << i)) { answer.push_back(S[i]); } } std::sort(answer.begin(), answer.end()); printf("%d\n", (int)answer.size()); for (int i = 0; i < (int)answer.size(); i++) { printf("%s\n", answer[i].c_str()); } return 0; }
#include <bits/stdc++.h> using namespace std; map<string, int> nameToInt; string names[(16 + 1)]; int n, m, forbidden[(16 + 1) * (16 + 1)], bestTeam; string name; int nSetBits(int i) { return __builtin_popcount(i); } int main() { int i, j; cin >> n >> m; for (i = 0; i < n; names[i] = name, ++i) cin >> name; sort(names, names + n); for (i = 0; i < n; ++i) nameToInt[names[i]] = i; for (i = 0; i < m; ++i) { forbidden[i] = 0; cin >> name; forbidden[i] |= 1 << nameToInt[name]; cin >> name; forbidden[i] |= 1 << nameToInt[name]; } for (int i = (1 << n) - 1; i > 0; --i) { for (j = 0; j < m; ++j) if ((forbidden[j] & i) == forbidden[j]) break; if (j == m && nSetBits(bestTeam) < nSetBits(i)) bestTeam = i; } cout << nSetBits(bestTeam) << endl; for (i = 0; i < n; ++i) if (bestTeam & (1 << i)) cout << names[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, cnt[17]; string name[17]; vector<int> conflic[17]; vector<int> res, cur; bool cmp(int a, int b) { return name[a] < name[b]; } void dfs(int now) { if (n - now + (int)cur.size() < (int)res.size()) return; if (now == n) { if (cur.size() > res.size()) res = cur; return; } if (!cnt[now]) { for (int &c : conflic[now]) ++cnt[c]; cur.push_back(now); dfs(now + 1); for (int &c : conflic[now]) --cnt[c]; cur.pop_back(); } dfs(now + 1); } int main() { map<string, int> id; cin >> n >> m; for (int i = 0; i < n; ++i) { cin >> name[i]; id[name[i]] = i; } for (int i = 0, u, v; i < m; ++i) { string a, b; cin >> a >> b; u = id[a]; v = id[b]; conflic[u].push_back(v); conflic[v].push_back(u); } dfs(0); cout << res.size() << '\n'; sort(res.begin(), res.end(), cmp); for (int &i : res) cout << name[i] << '\n'; }
#include <bits/stdc++.h> using namespace std; int ROW[] = {+0, +0, -1, +1}; int COL[] = {+1, -1, +0, +0}; int X[] = {+0, +0, +1, -1, -1, +1, -1, +1}; int Y[] = {-1, +1, +0, +0, +1, +1, -1, -1}; int KX[] = {-2, -2, -1, -1, 1, 1, 2, 2}; int KY[] = {-1, 1, -2, 2, -2, 2, -1, 1}; vector<string> v; string s; bool mat[20][20]; map<string, int> mp; bool isvalid(int num, int n) { for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { int temp = mat[i][j]; if ((num & (1 << i)) && (num & (1 << j)) && mat[i][j]) return false; } } return true; } int digcnt(int num) { int cnt = 0; while (num) { if (num & 1) cnt++; num >>= 1; } return cnt; } string tosmall(string s) { for (int i = 0; i < s.size(); i++) { if (s[i] >= 'A' && s[i] <= 'Z') { s[i] = s[i] - 'A' + 'a'; } } return s; } bool cmp(string a, string b) { string c = tosmall(a); string d = tosmall(b); if (c < d) return true; else if (d > c) return false; else return a < b; } int main() { int n, m, id = 0, ans = 0, x, y, val = 0; cin >> n >> m; for (int i = n - 1; i >= 0; i--) { cin >> s; v.push_back(s); } sort(v.begin(), v.end()); for (auto it : v) mp[it] = id++; for (int i = 0; i < m; i++) { cin >> s; x = mp[s]; cin >> s; y = mp[s]; mat[x][y] = true; mat[y][x] = true; } for (int i = (1 << n) - 1; i > 0; i--) { if (isvalid(i, n)) { if (digcnt(i) > val) val = digcnt(i); else continue; ans = i; } } cout << val << endl; for (int i = 0; i < n; i++) { if (ans & (1 << i)) cout << v[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, res = 0; map<string, int> mp; map<int, string> inv; vector<string> ans; bool graph[16][16]; int main() { cin >> n >> m; for (int i = 0; i < n; i++) { string s; cin >> s; mp[s] = i; inv[i] = s; } memset(graph, false, sizeof(bool) * 16 * 16); for (int i = 0; i < m; i++) { string x, y; cin >> x >> y; graph[mp[x]][mp[y]] = graph[mp[y]][mp[x]] = true; } for (int i = 0; i < (1 << n); i++) { bool ok = true; for (int j = 0; j < n; j++) for (int k = j + 1; k < n; k++) if ((1 & (i >> j)) && (1 & (i >> k))) if (graph[j][k]) ok = false; if (ok) { int cnt = 0; vector<string> tmp; for (int j = 0; j < n; j++) if (1 & (i >> j)) { ++cnt; tmp.push_back(inv[j]); } if (cnt > res) { res = cnt; ans = tmp; } } } sort(ans.begin(), ans.end()); cout << res << endl; for (int i = 0; i < res; i++) cout << ans[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e9 + 7; const int N = 1e6 + 10; map<string, int> ms; vector<string> vs; int a[N]; int flag[20][20]; void init() { a[0] = 0; for (int i = 1; i < N; i++) { a[i] = (i & 1) + a[i >> 1]; } } int main() { init(); int n, m; cin >> n >> m; for (int i = 0; i < n; i++) { string str; cin >> str; vs.push_back(str); } sort(vs.begin(), vs.end()); for (int i = 0; i < n; i++) { ms[vs[i]] = i; } while (m--) { string s1, s2; cin >> s1 >> s2; int x = ms[s1], y = ms[s2]; flag[x][y] = flag[y][x] = 1; } pair<int, int> ans = {0, 0}; for (int o = 0; o < (1 << n); o++) { int f = 1; for (int i = 0; i < n; i++) { if (o >> i & 1) continue; for (int j = 0; j < n; j++) { if (o >> j & 1) continue; if (flag[i][j]) f = 0; } } if (f) ans = max(ans, {n - a[o], o}); } cout << ans.first << endl; int o = ans.second; for (int i = 0; i < n; i++) { if (o >> i & 1) continue; cout << vs[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n; int e[20][20]; char c[20][20]; int rd() { char t[20]; scanf("%s", t); for (int i = 0; i < n; i++) if (strcmp(c[i], t) == 0) return i; } void input() { int m; scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) e[i][j] = 1; for (int i = 0; i < n; i++) scanf("%s", c[i]); for (int i = 0; i < m; i++) { int x = rd(), y = rd(); e[x][y] = e[y][x] = 0; } } int a[20]; int ans[20], ansn = 0; void dfs(int id, int an) { if (id == n) { if (ansn < an) { for (int i = 0; i < an; i++) ans[i] = a[i]; ansn = an; } return; } dfs(id + 1, an); for (int i = 0; i < an; i++) if (e[a[i]][id] == 0) return; a[an] = id; dfs(id + 1, an + 1); } bool cmp(int x, int y) { return strcmp(c[x], c[y]) < 0; } void solve() { dfs(0, 0); sort(ans, ans + ansn, cmp); printf("%d\n", ansn); for (int i = 0; i < ansn; i++) printf("%s\n", c[ans[i]]); } int main() { input(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1000000; const int MAX = 17; map<string, int> id; map<int, string> unid; vector<string> answer; bool check[MAX][MAX]; vector<int> now; int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) { string name; cin >> name; id[name] = i; unid[i] = name; } for (int i = 0; i < m; i++) { string a, b; cin >> a >> b; check[id[a]][id[b]] = true; check[id[b]][id[a]] = true; } int ans = -1; int ind; for (int i = 0; i < (1 << n); i++) { int tmp = 0; int cur = i; while (cur != 0) { if (cur % 2 == 1) tmp++; now.push_back(cur % 2); cur /= 2; } while (now.size() != n) { now.push_back(0); } reverse(now.begin(), now.end()); bool mark = true; for (int k = 0; k < now.size(); k++) { for (int j = 0; j < now.size(); j++) { if (now[k] == 1 and now[j] == 1 and check[k][j] == true) { mark = false; break; } } if (mark == false) { break; } } if (mark == true) { if (ans < tmp) ind = i; ans = max(ans, tmp); } now.clear(); } cout << ans << endl; while (ind != 0) { now.push_back(ind % 2); ind /= 2; } while (now.size() != n) now.push_back(0); reverse(now.begin(), now.end()); for (int i = 0; i < now.size(); i++) { if (now[i] == 1) { answer.push_back(unid[i]); } } sort(answer.begin(), answer.end()); for (int i = 0; i < answer.size(); i++) cout << answer[i] << endl; }
#include <bits/stdc++.h> using namespace std; int n, m, i, j, k, res, x, y; bool f; map<string, int> M; char str[11], A[17][11]; bool B[17][17]; vector<string> V; int main() { scanf("%d%d", &n, &m); for (i = 0; i < n; i++) { scanf("%s", A[i]); M[A[i]] = i; } for (i = 0; i < m; i++) { scanf("%s", str); x = M[str]; scanf("%s", str); y = M[str]; B[x][y] = B[y][x] = 1; } for (i = 0; i < 1 << n; i++) { f = 1; for (j = 0; j < n; j++) if (i & 1 << j) for (k = j + 1; k < n; k++) if (i & 1 << k && B[j][k]) f = 0; if (f && __builtin_popcount(res) < __builtin_popcount(i)) res = i; } printf("%d\n", __builtin_popcount(res)); for (i = 0; i < n; i++) if (res & 1 << i) V.push_back(A[i]); sort(V.begin(), V.end()); for (i = 0; i < V.size(); i++) printf("%s\n", V[i].c_str()); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m; cin >> n >> m; vector<string> candidates; for (int i = 0; i < n; i++) { string s1; cin >> s1; candidates.push_back(s1); } vector<pair<string, string>> odiados; for (int i = 0; i < m; i++) { string a, b; cin >> a >> b; pair<string, string> x = make_pair(a, b); odiados.push_back(x); } vector<pair<int, int>> cont_pos; vector<vector<string>> posib; int pos = 0; for (int mask = (1 << n) - 1; mask >= 0; mask--) { bool flag = false; int cont = 0; vector<string> provisional; for (int bit = 0; bit < n; bit++) { if ((mask >> bit) & 1) { provisional.push_back(candidates[bit]); cont++; } } for (int i = 0; i < m; i++) { if (find(provisional.begin(), provisional.end(), odiados[i].first) != provisional.end() && find(provisional.begin(), provisional.end(), odiados[i].second) != provisional.end()) { flag = true; } } if (flag) continue; else { sort(provisional.begin(), provisional.end()); pair<int, int> w = make_pair(cont, pos); cont_pos.push_back(w); posib.push_back(provisional); pos++; } } sort(cont_pos.begin(), cont_pos.end()); reverse(cont_pos.begin(), cont_pos.end()); cout << cont_pos[0].first << endl; for (auto elm : posib[cont_pos[0].second]) cout << elm << endl; return 0; }
#include <bits/stdc++.h> using namespace std; char s[20][15]; bool road[20][20]; int dp[100000]; char shuchu[20][15]; int comp(const void *_a, const void *_b) { char *a = (char *)_a; char *b = (char *)_b; return strcmp(a, b); } int jisuan(int x) { int queue[25]; int cnt = 1; int step = 1; while (x) { if (x & 1) { queue[cnt++] = step; } step++; x >>= 1; } int i, j; int flag = 0; for (i = 1; i < cnt; i++) { for (j = 1; j < cnt; j++) { if (i == j) continue; if (road[queue[i]][queue[j]]) { flag = 1; break; } } } if (flag) return -1; else return cnt - 1; } int main() { int n, m; while (scanf("%d%d", &n, &m) != EOF) { memset(road, false, sizeof(road)); int i; for (i = 1; i <= n; i++) { scanf("%s", s[i]); } char s1[15], s2[15]; int j; int k; int l; for (j = 1; j <= m; j++) { scanf("%s%s", s1, s2); for (k = 1; k <= n; k++) { if (strcmp(s1, s[k]) == 0) break; } for (l = 1; l <= n; l++) { if (strcmp(s2, s[l]) == 0) break; } road[k][l] = road[l][k] = true; } int max = 0; int maxnum = 0; for (i = 0; i < (1 << n); i++) { int q = jisuan(i); if (q > max) { max = q; maxnum = i; } } int bu = 1; printf("%d\n", max); int ll = 0; while (maxnum) { if (maxnum & 1) { strcpy(shuchu[ll++], s[bu]); } bu++; maxnum >>= 1; } qsort(shuchu, max, sizeof(shuchu[0]), comp); for (i = 0; i < max; i++) { printf("%s\n", shuchu[i]); } } return 0; }
#include <bits/stdc++.h> using namespace std; vector<string> ans, name; vector<pair<int, int> > cannot; int n, m, i, j, num1, num2, mask, x, p; string s1, s2; inline bool settedbit(int _mask, int _numbit) { return (((_mask & (1 << _numbit))) != 0); } int main() { cin >> n >> m; name.resize(n); for (i = 0; i < n; i++) cin >> name[i]; cannot.clear(); for (i = 0; i < m; i++) { cin >> s1 >> s2; num1 = num2 = -1; for (j = 0; j < n; j++) { if (s1 == name[j]) num1 = j; if (s2 == name[j]) num2 = j; } cannot.push_back(make_pair(num1, num2)); } for (mask = 0; mask < (1 << n); ++mask) { char flag = true; for (i = 0; i < m; i++) if (settedbit(mask, cannot[i].first) && settedbit(mask, cannot[i].second)) { flag = false; break; } if (flag) { x = 0; for (p = mask; p > 0; x += (p & 1), p >>= 1) ; if (x > ans.size()) { ans.clear(); for (p = 0; p < n; p++) if (settedbit(mask, p)) ans.push_back(name[p]); } } } sort(ans.begin(), ans.end()); cout << ans.size() << "\n"; for (i = 0; i < ans.size(); i++) cout << ans[i] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 16; int main() { int n, m; int graph[N + 1][N + 1]; string volunteers[N + 1]; map<string, int> rel; cin >> n >> m; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { graph[i][j] = 0; } } for (int i = 0; i < n; i++) { string name; cin >> name; volunteers[i] = name; rel[name] = i; } for (int i = 0; i < m; i++) { string f, s; cin >> f >> s; graph[rel[f]][rel[s]] = graph[rel[s]][rel[f]] = 1; } int combination = 0, match = 0; for (int mask = 0; mask < (1 << n); mask++) { bool notPair = false; int it = 0; for (int i = 0; i < n; i++) { if (mask & (1 << i)) { for (int j = 0; j < n; j++) { if (mask & (1 << j)) { if (graph[i][j]) { notPair = true; } } it++; } } } if (!notPair && it > match) { combination = mask; match = it; } } vector<string> group; for (int i = 0; i < n; i++) { if (combination & (1 << i)) { group.push_back(volunteers[i]); } } sort(group.begin(), group.end()); cout << group.size() << endl; for (int i = 0; i < group.size(); i++) { cout << group.at(i) << endl; } }
#include <bits/stdc++.h> char name[16][13], *nx[16]; bool map[16][16], pick[17]; int n, m, ma, tm, p; inline int getid(char *na) { int i; for (i = 0; i < n; ++i) { if (!strcmp(na, name[i])) return i; } } int cal(int st) { int i, j, tn = 0; for (i = 0; i < n; ++i) { if (st & 1) pick[i] = 1, ++tn; else pick[i] = 0; st = st >> 1; } if (tn < ma) return -1; for (i = 0; i < n; ++i) { if (!pick[i]) continue; for (j = i + 1; j < n; ++j) { if (pick[j] && map[i][j]) return -1; } } return tn; } int cmp(const void *a, const void *b) { return strcmp(*((char **)a), *((char **)b)); } int main() { int i, j, ai, bi, n2; char a[13], b[13]; scanf("%d%d", &n, &m); for (n2 = 1, i = 0; i < n; ++i) n2 *= 2; for (i = 0; i < n; ++i) scanf("%s", name[i]); for (i = 0; i < n; ++i) { for (j = 0; j < n; ++j) map[i][j] = 0; } for (i = 0; i < m; ++i) { scanf("%s%s", a, b); ai = getid(a); bi = getid(b); map[ai][bi] = 1; map[bi][ai] = 1; } p = 0; ma = 0; for (i = 1; i < n2; ++i) { tm = cal(i); if (ma < tm) { ma = tm; p = i; } } for (i = 0; i < n; ++i) { if (p & 1) pick[i] = 1; else pick[i] = 0; p = p >> 1; } for (i = 0, j = 0; i < n; ++i) { if (pick[i]) nx[j++] = name[i]; } qsort(nx, j, sizeof(char *), cmp); printf("%d\n", ma); for (i = 0; i < ma; ++i) printf("%s\n", nx[i]); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); int n, m; cin >> n >> m; vector<string> names(n); for (auto& name : names) cin >> name; map<pair<string, string>, bool> edges; while (m--) { string a, b; cin >> a >> b; edges[{a, b}] = true; edges[{b, a}] = true; } vector<string> answers; for (int i = 0; i < (1 << n); ++i) { if (__builtin_popcount(i) < answers.size()) continue; vector<string> current; for (int j = 0; j < n; ++j) if (i & (1 << j)) current.push_back(names[j]); bool works = true; for (int j = 0; j < current.size(); ++j) for (int k = j + 1; k < current.size(); ++k) if (edges.count({current[j], current[k]})) works = false; if (works) answers = current; } sort(answers.begin(), answers.end()); cout << answers.size() << '\n'; for (auto& answer : answers) cout << answer << '\n'; }
#include <bits/stdc++.h> int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); std::map<std::string, int> names; int n; int m; std::cin >> n >> m; int h = n; unsigned i = 1 << n; while (n--) { std::string name; std::cin >> name; names.emplace(std::move(name), n); } std::vector<unsigned> forbidden(m); for (auto&& mask : forbidden) { std::string a; std::string b; std::cin >> a >> b; mask = 1 << names.find(a)->second | 1 << names.find(b)->second; } int best_h = 0; unsigned best_mask = 0; while (i--) { if (h > best_h) { auto it = std::find_if(forbidden.begin(), forbidden.end(), [&](unsigned f) { f &= i; return f & (f - 1); }); if (it == forbidden.end()) { best_h = h; best_mask = i; } } unsigned j = i & ~(i - 1); while (j >>= 1) { h++; } h--; } std::cout << best_h << '\n'; for (const auto& p : names) { if (best_mask & 1 << p.second) std::cout << p.first << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m; cin >> n >> m; vector<string> s(n); vector<vector<int> > v(n); for (int i = 0; i < n; ++i) cin >> s[i]; sort(s.begin(), s.end()); for (int i = 0; i < m; ++i) { string x, y; cin >> x >> y; int xx, yy; for (int i = 0; i < n; ++i) if (s[i] == x) xx = i; else if (s[i] == y) yy = i; v[xx].push_back(yy); v[yy].push_back(xx); } int b[20]; fill(b, b + 20, 0); int res = 1; vector<string> ress(1, s[0]); while (!b[n]) { ++b[0]; for (int i = 0; i < n; ++i) if (b[i] == 2) { ++b[i + 1]; b[i] = 0; } bool ok = true; for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) if (b[i] && b[j]) { for (int ii = 0; ii < v[i].size(); ++ii) if (v[i][ii] == j) { ok = false; goto l; } } l:; int k = 0; vector<string> ss; for (int i = 0; i < n; ++i) if (b[i]) ++k, ss.push_back(s[i]); if (ok && res < k) res = k, ress = ss; } cout << res << endl; for (int i = 0; i < ress.size(); ++i) cout << ress[i] << " "; }
#include <bits/stdc++.h> using namespace std; int n, m, never[17], ans; string name[16]; vector<int> notgood[17]; int count(int i) { int res = 0; while (i) { res += i & 1; i >>= 1; } return res; } int main() { unordered_map<string, int> con; cin >> n >> m; for (int i = 0; i < n; ++i) cin >> name[i], con[name[i]] = i; for (string a, b; m--;) { cin >> a >> b; int i = con[a], j = con[b]; notgood[i].push_back(j); notgood[j].push_back(i); } for (int i = 0, ok; i < (1 << n); ++i) { for (int j = 0; j < n; ++j) if (i & (1 << j)) for (int &k : notgood[j]) never[k] = i + 1; ok = true; for (int j = 0; j < n and ok; ++j) if ((i & (1 << j)) and never[j] == i + 1) ok = false; if (ok and count(i) > count(ans)) ans = i; } m = count(ans); cout << m << '\n'; for (int j = 0, k = 0; j < n; ++j) if (ans & (1 << j)) name[k++] = name[j]; sort(name, name + m); for (int i = 0; i < m; ++i) cout << name[i] << '\n'; }
#include <bits/stdc++.h> using namespace std; map<string, vector<string> > graph; bool valid(set<string>& t) { for (auto i = t.begin(); i != t.end(); i++) { for (auto k : graph[*i]) { if (t.find(k) != t.end()) { return false; } } } return true; } void solve() { long long int n, m; cin >> n >> m; vector<string> players(n); for (long long int i = 0; i < n; i++) { cin >> players[i]; } for (long long int i = 0; i < m; i++) { string a, b; cin >> a >> b; graph[a].push_back(b); graph[b].push_back(a); } set<string> ans; for (long long int i = 1; i < (1 << (n + 1)); i++) { set<string> tmp; if (__builtin_popcount(i) >= ans.size()) { for (long long int j = 0; j <= log2(i); j++) { if (i & (1 << j)) { tmp.insert(players[min(n - 1, j)]); } } if (ans.size() < tmp.size() && valid(tmp)) { ans = tmp; } } tmp.clear(); } cout << ans.size() << '\n'; for (string s : ans) { cout << s << "\n"; } } signed main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); ; long long int T = 1; while (T--) { solve(); cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; map<string, int> p; string str[16]; int g[16][16] = {}; int countbit(int n) { int k = 0; while (n > 0) { k += n % 2; n /= 2; } return k; } int main(void) { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) { cin >> str[i]; p[str[i]] = i; } for (int i = 0; i < m; i++) { string x, y; cin >> x >> y; g[p[x]][p[y]] = g[p[y]][p[x]] = 1; } int ans = 0; for (int state = 0; state < (1 << n); state++) { if (countbit(ans) >= countbit(state)) continue; int flag = 0; for (int i = 0; i < n; i++) for (int j = i + 1; j < n; j++) if ((state & (1 << i)) && (state & (1 << j)) && g[i][j]) flag = 1; if (!flag) ans = state; } vector<string> w; for (int i = 0; i < n; i++) if ((ans & (1 << i))) w.push_back(str[i]); sort(w.begin(), w.end()); cout << w.size() << endl; for (int i = 0; i < (int)w.size(); i++) cout << w[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int N, M, T; map<string, int> mp; set<string> s; set<string>::iterator it; char str[22]; char ss[22][22]; int tb[20][20]; int Mc; int num[20]; void gen(int idx) { if (idx == N) { int i, j, k; for (i = 1; i <= N; i++) for (j = i + 1; j <= N; j++) if (num[i] && num[j] && tb[i][j]) return; k = 0; for (i = 1; i <= N; i++) if (num[i]) k++; if (k > Mc) { Mc = k; s.clear(); for (i = 1; i <= N; i++) if (num[i]) s.insert(ss[i]); } return; } num[idx + 1] = 1; gen(idx + 1); num[idx + 1] = 0; gen(idx + 1); } int main() { int i, j, k; scanf("%d%d", &N, &M); for (i = 1; i <= N; i++) { scanf("%s", ss[i]); mp[ss[i]] = i; } int x, y; for (i = 1; i <= M; i++) { scanf("%s", str); x = mp[str]; scanf("%s", str); y = mp[str]; tb[x][y] = 1; tb[y][x] = 1; } gen(0); printf("%d\n", Mc); for (it = s.begin(); it != s.end(); it++) cout << (*it) << endl; scanf(" "); }
#include <bits/stdc++.h> using namespace std; bool enemies[16][16]; bool check(int mask, int namesNumber) { for (int i = 0; i < namesNumber; i++) { if ((mask & (1 << i)) == 0) continue; for (int j = 0; j < namesNumber; j++) { if (i == j) continue; if ((mask & (1 << j)) == 0) continue; if (enemies[i][j] || enemies[j][i]) return false; } } return true; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int namesNumber, enemiesNumber; string name; cin >> namesNumber >> enemiesNumber; vector<string> people; map<string, int> indexes; for (int i = 0; i < namesNumber; i++) { cin >> name; people.push_back(name); indexes[name] = i; } string firstEnemy, secondEnemy; while (enemiesNumber--) { cin >> firstEnemy >> secondEnemy; enemies[indexes[firstEnemy]][indexes[secondEnemy]] = true; enemies[indexes[secondEnemy]][indexes[firstEnemy]] = true; } vector<string> dreamTeam; int numberOfPeopleForMask; for (int mask = ((1 << namesNumber) - 1); mask > 0; mask--) { vector<string> peopleForMask; numberOfPeopleForMask = 0; if (check(mask, namesNumber)) { for (int bit = 0; bit < namesNumber; bit++) { if ((1 << bit) & mask) { peopleForMask.push_back(people[bit]); numberOfPeopleForMask++; } } } if (numberOfPeopleForMask > dreamTeam.size()) { dreamTeam = peopleForMask; } } cout << dreamTeam.size() << endl; sort(dreamTeam.begin(), dreamTeam.end()); for (string personTmp : dreamTeam) cout << personTmp << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m; cin >> n >> m; string s[n]; map<string, int> mp; map<int, string> rvmp; for (int i = 0; i < n; i++) { cin >> s[i]; mp[s[i]] = i; rvmp[i] = s[i]; } map<pair<string, string>, int> t; for (int i = 0; i < m; i++) { string aa, bb; cin >> aa >> bb; t[{aa, bb}] = 1; t[{bb, aa}] = 1; } vector<string> ans, temp1; int temp = 0; for (long int i = 1; i <= pow(2, n); i++) { int cnt = 0, j = i; while (j > 0) { if (j % 2 == 1) { temp1.push_back(rvmp[cnt]); } cnt++; j /= 2; } cnt = temp1.size(); bool pp = 0; for (long int ij = 0; ij < cnt; ij++) { for (long int k = ij + 1; k < cnt; k++) { if (t[{temp1[ij], temp1[k]}]) pp = 1; } } if (pp == 0) { if (cnt > temp) { temp = cnt; ans.clear(); for (long int k = 0; k < cnt; k++) { ans.push_back(temp1[k]); } } } temp1.clear(); } cout << ans.size() << endl; sort(ans.begin(), ans.end()); for (int i = 0; i < ans.size(); i++) { cout << ans[i] << endl; } }
#include <bits/stdc++.h> using namespace std; bool enemies[16][16]; bool check(int mask, int namesNumber) { for (int i = 0; i < namesNumber; i++) { if ((mask & (1 << i)) == 0) continue; for (int j = 0; j < namesNumber; j++) { if (i == j) continue; if ((mask & (1 << j)) == 0) continue; if (enemies[i][j] || enemies[j][i]) return false; } } return true; } int main() { ios::sync_with_stdio(false); cin.tie(0); int namesNumber, enemiesNumber; string name; cin >> namesNumber >> enemiesNumber; vector<string> people; map<string, int> indexes; for (int i = 0; i < namesNumber; i++) { cin >> name; people.push_back(name); indexes[name] = i; } string firstEnemy, secondEnemy; while (enemiesNumber--) { cin >> firstEnemy >> secondEnemy; enemies[indexes[firstEnemy]][indexes[secondEnemy]] = true; enemies[indexes[secondEnemy]][indexes[firstEnemy]] = true; } vector<string> dreamTeam; int numberOfPeopleForMask; for (int mask = ((1 << namesNumber) - 1); mask > 0; mask--) { vector<string> peopleForMask; numberOfPeopleForMask = 0; if (check(mask, namesNumber)) { for (int bit = 0; bit < namesNumber; bit++) { if ((1 << bit) & mask) { peopleForMask.push_back(people[bit]); numberOfPeopleForMask++; } } } if (numberOfPeopleForMask > dreamTeam.size()) { dreamTeam = peopleForMask; } } sort(dreamTeam.begin(), dreamTeam.end()); cout << dreamTeam.size() << endl; for (int i = 0; i < dreamTeam.size(); i++) { cout << dreamTeam[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; bool E[20][20]; int n, m; bool dp[70000]; bool check(int key) { int msk = 1 << n; int cnt = n, e1; while (!(msk & key)) { cnt--; msk >>= 1; } e1 = cnt; key = (~msk) & key; if (!dp[key]) return false; while (msk) { if (msk & key) { if (E[cnt][e1]) return false; } cnt--; msk >>= 1; } return true; } int NUM(int key) { int cnt = 0; while (key) { cnt++; key = key & (key - 1); } return cnt; } int main() { int i, j = 0, key; map<string, int> M; map<int, string> L; string str, str2; int mx = 0, msk; vector<string> V; cin >> n >> m; for (i = 0; i < n; i++) { cin >> str; M[str] = i; L[i] = str; dp[1 << i] = true; } for (i = 0; i < m; i++) { cin >> str >> str2; E[M[str]][M[str2]] = E[M[str2]][M[str]] = true; } j = 1 << n; for (i = 1; i < j; i++) { if (!dp[i]) { dp[i] = check(i); } } for (i = 1; i < j; i++) { if (dp[i]) { m = NUM(i); if (mx < m) { mx = m; key = i; } } } msk = 1 << n; j = n; cout << mx << endl; while (msk) { if (msk & key) V.push_back(L[j]); j--; msk >>= 1; } sort(V.begin(), V.end()); for (i = 0; i < V.size(); i++) cout << V[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int g[16][16]; vector<string> vs; map<string, int> m; int n, mm; memset(g, 0, sizeof(g)); scanf("%d %d", &n, &mm); for (int i = 0; i < n; i++) { char name[20]; scanf("%s", name); m.insert(make_pair(name, i)); vs.push_back(name); } for (int i = 0; i < mm; i++) { char name1[20], name2[20]; scanf("%s %s", name1, name2); int a = m[name1], b = m[name2]; g[a][b] = 1; } int res = 0; vector<int> res_v; for (int i = 0; i < 1 << n; i++) { int cnt = 0; vector<int> v; for (int j = 0; j < n; j++) if ((i >> j) & 1) { cnt++; v.push_back(j); } bool flag = true; for (int j = 0; j < v.size(); j++) for (int k = 0; k < v.size(); k++) if (g[v[j]][v[k]] == 1) flag = false; if (flag && cnt > res) { res = cnt; res_v = v; } } vector<string> rv; for (int i = 0; i < res_v.size(); i++) rv.push_back(vs[res_v[i]]); sort(rv.begin(), rv.end()); printf("%d\n", res); for (int i = 0; i < rv.size(); i++) printf("%s\n", rv[i].c_str()); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("-Ofast", "-funroll-all-loops") using namespace std; long long int modularExponentiation(long long int x, long long int n, long long int M) { if (n == 0) return 1; else if (n % 2 == 0) return modularExponentiation((x * x) % M, n / 2, M); else return (x * modularExponentiation((x * x) % M, (n - 1) / 2, M)) % M; } long long int CeilIndex(std::vector<long long int>& v, long long int l, long long int r, long long int key) { while (r - l > 1) { long long int m = l + (r - l) / 2; if (v[m] > key) r = m; else l = m; } return r; } long long int LongestIncreasingSubsequenceLength( std::vector<long long int>& v) { if (v.size() == 0) return 0; std::vector<long long int> tail(v.size(), 0); long long int length = 1; tail[0] = v[0]; for (size_t i = 1; i < v.size(); i++) { if (v[i] < tail[0]) tail[0] = v[i]; else if (v[i] >= tail[length - 1]) tail[length++] = v[i]; else tail[CeilIndex(tail, -1, length - 1, v[i])] = v[i]; } return length; } bool check(int m, vector<pair<int, int>> v) { int f = 0; for (int i = 0; i < v.size(); i++) { int x = v[i].first; int y = v[i].second; if (x > m && y > m) { f = 1; break; } } if (f == 1) return false; else return true; } long long int subCount(long long int arr[], long long int n, long long int k) { long long int mod[k]; memset(mod, 0, sizeof(mod)); long long int cumSum = 0; for (long long int i = 0; i < n; i++) { cumSum += arr[i]; mod[((cumSum % k) + k) % k]++; } long long int result = 0; for (long long int i = 0; i < k; i++) if (mod[i] > 1) result += (mod[i] * (mod[i] - 1)) / 2; result += mod[0]; return result; } bool isPerfectSquare(long double x) { if (x >= 0) { long double sr = sqrt(x); return (sr * sr == x); } return false; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long int n, m; cin >> n >> m; vector<string> v(16); set<string> ans; for (long long int i = 0; i < n; i++) cin >> v[i]; vector<pair<string, string>> vp(120); for (long long int i = 0; i < m; i++) cin >> vp[i].first >> vp[i].second; for (long long int i = 0; i < (1 << n); i++) { set<string> s; long long int valid = 1; for (long long int j = 0; j < n; j++) { if ((i >> j) & 1) s.insert(v[j]); } for (long long int k = 0; k < m; k++) { if (s.find(vp[k].first) != s.end() && s.find(vp[k].second) != s.end()) valid = 0; } if (valid) { long long int size = s.size(); if (s.size() > ans.size()) ans = s; } } cout << ans.size() << endl; for (auto it = ans.begin(); it != ans.end(); it++) cout << *it << endl; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:36777216") using namespace std; const double pi = acos(-1.0); const double eps = 1e-11; const int oo = 0x3f3f3f3f; template <class T> inline void checkmin(T &a, T b) { if (b < a) a = b; } template <class T> inline void checkmax(T &a, T b) { if (b > a) a = b; } template <class T> inline T sqr(T x) { return x * x; } template <class T> inline T lowbit(T n) { return (n ^ (n - 1)) & n; } template <class T> inline int countbit(T n) { return (n == 0) ? 0 : (1 + countbit(n & (n - 1))); } template <class T> inline T gcd(T a, T b) { T c; while (a != 0) { c = a; a = b % a; b = c; } return b; } template <class T> inline T mabs(T a) { if (a < 0) return -a; else return a; } typedef vector<int> VI; typedef vector<VI> VII; typedef vector<string> VS; const int N = (int)21; const int MOD = (int)1e9 + 7; int g[N][N]; inline int solve(int testnum) { int n, k; cin >> n >> k; map<string, int> names; names.clear(); map<int, string> idx2name; idx2name.clear(); for (int i = (0); i < int(n); i++) { string s; cin >> s; names[s] = i; idx2name[i] = s; } for (int i = (0); i < int(n); i++) for (int j = (0); j < int(n); j++) g[i][j] = 1; for (int i = (0); i < int(k); i++) { string a, b; cin >> a >> b; int ia = names[a]; int ib = names[b]; g[ia][ib] = 0; } int best = 0; for (int mask = (0); mask < int((1 << (n))); mask++) { int f = 1; for (int i = (0); i < int(n); i++) { if ((mask & (1 << (i))) > 0) { for (int j = (0); j < int(n); j++) if ((mask & (1 << (j))) > 0) { if (g[i][j] == 0) { f = 0; } } } } if (!f || !mask) continue; if (countbit(mask) > countbit(best)) { best = mask; } } VS ret; ret.clear(); for (int b = (0); b < int(n); b++) if ((best & (1 << (b))) > 0) { ret.push_back(idx2name[b]); } sort((ret).begin(), (ret).end()); printf("%d\n", ret.size()); for (auto &j : ret) printf("%s\n", j.c_str()); return 0; } int main(int argc, char *argv[]) { ios::sync_with_stdio(false); int t = 1; if (argc > 1) t = atoi(argv[1]); for (int _t = (1); _t < int(t + 1); _t++) { int ret = ::solve(_t); if (ret == -1) { cerr << "Failed test #" << _t << endl; break; } cerr << "Solved test #" << _t << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; long long int n, m; string a[20]; map<long long int, string> mp; set<pair<string, string>> s; bool possible(string bin) { long long int f = 0; long long int i, j, n = bin.size(); vector<string> v1; long long int c = 0; for (i = n - 1; i >= 0; i--) { if (mp.find(c) != mp.end()) { if (bin[i] == '1') v1.push_back(mp[c]); } else break; c++; } for (i = 0; i < v1.size(); i++) { for (j = i + 1; j < v1.size(); j++) { if (v1[i] < v1[j]) { if (s.find({v1[i], v1[j]}) != s.end()) { return false; } } else { if (s.find({v1[j], v1[i]}) != s.end()) { return false; } } } } return true; } void solve() { long long int i, j, c, x, y; cin >> n >> m; for (i = 0; i < n; i++) { cin >> a[i]; mp[i] = a[i]; } for (i = 0; i < m; i++) { string p, q; cin >> p >> q; if (p < q) s.insert({p, q}); else s.insert({q, p}); } set<string> ans; long long int maxi = 0; for (i = 0; i < pow(2, n); i++) { x = i; string bin = ""; for (j = 31; j >= 0; j--) { long long int k = x >> j; if (k & 1) bin.push_back('1'); else bin.push_back('0'); } if (possible(bin)) { long long int cnt = 0; set<string> tmp; for (j = 0; j < bin.size(); j++) { if (bin[j] == '1') cnt++; } if (cnt > maxi) { maxi = cnt; long long int c = 0; for (j = bin.size() - 1; j >= 0; j--) { if (mp.find(c) != mp.end()) { if (bin[j] == '1') tmp.insert(mp[c]); } else break; c++; } ans = tmp; } } } cout << ans.size() << "\n"; for (auto it = ans.begin(); it != ans.end(); it++) cout << *it << "\n"; } signed main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long int t; t = 1; while (t--) solve(); cerr << "\nTime elapsed: " << setprecision(5) << 1000.0 * clock() / CLOCKS_PER_SEC << "ms\n"; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { string volunteers[1000]; map<string, int> volunteersId; vector<int> ids; vector<int> temp; int n, m; cin >> n; cin >> m; int uselessPairs[1000][1000]; for (int i = 0; i < n; i++) { cin >> volunteers[i]; volunteersId.insert(std::make_pair(volunteers[i], i)); } for (int i = 0; i < m; i++) { string firstVolunteer; string secondVolunteer; cin >> firstVolunteer; cin >> secondVolunteer; uselessPairs[volunteersId.at(firstVolunteer)] [volunteersId.at(secondVolunteer)] = 1; uselessPairs[volunteersId.at(secondVolunteer)] [volunteersId.at(firstVolunteer)] = 1; } int foundedMask = -1; int activeBits = -1; for (int i = 0; i < 1 << n; i++) { bool foundUseless = false; for (int j = 0; j < n; j++) { if ((i & (1 << j)) == 0) continue; for (int k = 0; k < n; k++) { if (j == k || ((i & (1 << k)) == 0)) continue; if (uselessPairs[j][k]) { foundUseless = true; break; } } } if (!foundUseless) { if (__builtin_popcount(i) > activeBits) { activeBits = __builtin_popcount(i); foundedMask = i; } } } vector<string> temp2; for (int i = 0; i < n; i++) { if (foundedMask & (1 << i)) { temp2.push_back(volunteers[i]); } } sort(temp2.begin(), temp2.end()); cout << activeBits << endl; for (int i = 0; i < temp2.size(); i++) { cout << temp2.at(i) << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e9 + 10; int main() { ios_base::sync_with_stdio(0); cout.tie(0); cin.tie(0); long long n, q, max_size = 0; cin >> n >> q; string arr[n]; vector<string> ans_v; for (int i = 0; i < n; ++i) cin >> arr[i]; map<pair<string, string>, bool> mp; for (int i = 0; i < q; ++i) { string str1, str2; cin >> str1 >> str2; mp[make_pair(str1, str2)] = true; } for (int mask = 0; mask < (1 << n); ++mask) { vector<string> ans; for (int i = 0; i < n; ++i) { if (mask & (1 << i)) { ans.push_back(arr[i]); } } bool suit = true; for (int j = 0; j < ans.size(); ++j) { for (int k = 0; k < ans.size(); ++k) { if (mp[make_pair(ans[j], ans[k])] == true) { suit = false; break; } } } if (suit) { if (max_size < ans.size()) { max_size = ans.size(); ans_v = ans; } } } cout << max_size << endl; sort(ans_v.begin(), ans_v.end()); for (int i = 0; i < max_size; ++i) { cout << ans_v[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 16; int edge[((1) << (N))]; int cnt[((1) << (N))]; int main() { int n, m; cin >> n >> m; map<string, int> mem; vector<string> all(n); for (int i = 0; i < (n); ++i) { string name; cin >> name; mem[name] = i; all[i] = name; } for (int i = 0; i < (m); ++i) { string a, b; cin >> a >> b; edge[((1) << (mem[a]))] |= ((1) << (mem[b])); edge[((1) << (mem[b]))] |= ((1) << (mem[a])); } int ans = 0, best = 0; for (typeof(1) mk = 1; mk < ((1) << (n)); ++mk) { edge[mk] = edge[mk ^ ((mk) & ((mk) ^ ((mk)-1)))] | edge[((mk) & ((mk) ^ ((mk)-1)))]; cnt[mk] = cnt[mk ^ ((mk) & ((mk) ^ ((mk)-1)))] + 1; ; ; if (0 == (edge[mk] & mk) && ans < cnt[mk]) { best = mk; ans = cnt[mk]; ; ; } } vector<string> team; for (int i = 0; i < (n); ++i) if (((1) << (i)) & best) team.push_back(all[i]); sort((team).begin(), (team).end()); cout << ans << endl; for (int i = 0; i < (((int)(team).size())); ++i) cout << team[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; map<string, int> p; string str[16]; int g[16][16] = {}; int cnt_bit(int a) { int ans = 0; while (a > 0) { ans += a % 2; a /= 2; } return ans; } int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) { cin >> str[i]; p[str[i]] = i; } for (int i = 0; i < m; i++) { string x, y; cin >> x >> y; g[p[x]][p[y]] = 1; g[p[y]][p[x]] = 1; } int ans = 0; for (int state = 0; state < (1 << n); state++) { if (cnt_bit(ans) >= cnt_bit(state)) continue; bool flag = false; for (int i = 0; i < n; i++) { for (int j = i + 1; j < n; j++) { if ((state & (1 << i)) && (state & (1 << j)) && g[i][j]) flag = true; } } if (!flag) ans = state; } vector<string> w; for (int i = 0; i < n; i++) if (ans & (1 << i)) w.push_back(str[i]); sort(w.begin(), w.end()); cout << w.size() << "\n"; for (int i = 0; i < int(w.size()); i++) cout << w[i] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; string x[17]; vector<vector<int> > y(17); int n, maxm, ind, r[17][17]; void AllGetOn(int Me, vector<int> chosen, bool b) { if (b) chosen.push_back(Me); if (Me >= n) { y.push_back(chosen); return; } b = 0; for (int i = 0; i < chosen.size(); i++) if (r[Me + 1][chosen[i]]) b = 1; if (!b) AllGetOn(Me + 1, chosen, 1); AllGetOn(Me + 1, chosen, 0); } int main() { int m; cin >> n >> m; for (int i = 1; i <= n; i++) cin >> x[i]; sort(x + 1, x + n + 1); for (int i = 0; i < m; i++) { string y, z; cin >> y >> z; int ind1, ind2; for (int j = 1; j <= n; j++) if (x[j] == y) ind1 = j; else if (x[j] == z) ind2 = j; r[ind1][ind2] = r[ind2][ind1] = 1; } vector<int> z; AllGetOn(0, z, 0); for (int i = 0; i < y.size(); i++) if (maxm < y[i].size()) { maxm = y[i].size(); ind = i; } cout << y[ind].size() << endl; ; sort(y[ind].begin(), y[ind].end()); for (int i = 0; i < y[ind].size(); i++) cout << x[y[ind][i]] << endl; }
#include <bits/stdc++.h> using namespace std; void fastscan(int &number) { bool negative = false; register int c; number = 0; c = getchar(); if (c == '-') { negative = true; c = getchar(); } for (; (c > 47 && c < 58); c = getchar()) number = number * 10 + c - 48; if (negative) number *= -1; } bool comparable(pair<string, int> p1, pair<string, int> p2) { return p1.second < p2.second; } int main() { int n, mm; cin >> n >> mm; string m[n]; pair<string, string> h[mm]; string s, s2; for (int i = 0; i < n; i++) { cin >> m[i]; } for (int i = 0; i < mm; i++) { cin >> s >> s2; h[i].first = s; h[i].second = s2; } vector<string> best(0); for (int i = 1; i < (1 << n); i++) { vector<string> team; for (int j = 0; j < n; j++) if ((i >> j) & 1) team.push_back(m[j]); bool cont = true; for (int j = 0; j < mm && cont; j++) if (find(team.begin(), team.end(), h[j].first) != team.end() && find(team.begin(), team.end(), h[j].second) != team.end()) cont = false; if (cont && best.size() < team.size()) best = team; } sort(best.begin(), best.end()); cout << best.size() << endl; for (int i = 0; i < best.size(); i++) cout << best[i] << '\n'; }
#include <bits/stdc++.h> using namespace std; int main() { long long int n, m, i, j, k; cin >> n >> m; vector<string> name(n), store; for (i = 0; i < n; i++) { cin >> name[i]; } map<string, map<string, bool>> M; for (i = 0; i < m; i++) { string s1, s2; cin >> s1 >> s2; M[s1][s2] = true; M[s2][s1] = true; } for (i = 0; i < (1 << n); i++) { vector<string> check; for (j = 0; j < n; j++) { if (i & (1 << j)) { check.push_back(name[j]); } } bool f = true; for (k = 0; k < check.size(); k++) { for (j = k + 1; j < check.size(); j++) { if (M[check[k]][check[j]]) { f = false; } } } if (f && check.size() > store.size()) store = check; } sort(store.begin(), store.end()); cout << store.size() << endl; for (i = 0; i < store.size(); i++) { cout << store[i] << endl; } }
#include <bits/stdc++.h> using namespace std; const int inf = (int)(1e9); const int mod = inf + 7; const double pi = acos(-1.0); const double eps = 1e-9; map<string, int> id; int n, m; string second, t, b[100]; bool a[100][100]; vector<int> v; bool was[1 << 17]; bool check(int mask) { bool ok = 1; for (int i = 0; i < n; i++) { for (int j = i + 1; j < n; j++) { if ((mask & (1 << j)) && (mask & (1 << i)) && a[i][j]) { ok = 0; break; } } if (!ok) break; } return ok; } int bitcnt(int mask) { int k = 0; for (int i = 0; i < n; i++) if (mask & (1 << i)) k++; return k; } bool cmp(int a, int b) { int k1 = 0, k2 = 0; for (int i = 0; i < n; i++) { if (a & (1 << i)) k1++; if (b & (1 << i)) k2++; } return (k1 <= k2); } int main() { cin >> n >> m; for (int i = 0; i < n; i++) { cin >> second; id[second] = i; b[i] = second; } for (int i = 0; i < m; i++) { cin >> second >> t; a[id[second]][id[t]] = 1; a[id[t]][id[second]] = 1; } for (int i = 0; i < (1 << n); i++) { if (check(i)) v.push_back(i); } int mask = -1, p = -inf; for (int i = 0; i < (int)v.size(); i++) { int k = bitcnt(v[i]); if (p < k) { p = k; mask = v[i]; } } set<string> ans; for (int i = 0; i < n; i++) if (mask & (1 << i)) ans.insert(b[i]); printf("%d\n", (int)ans.size()); for (__typeof(ans.begin()) it = ans.begin(); it != ans.end(); it++) cout << *it << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, k, ansno = 0, no = 0; string arr[20]; bool conf[20][20]; map<string, int> mp; vector<string> vec; vector<string> ans; bool valid(int indx) { if (indx == -1) return 1; for (int i = 0; i < (int)vec.size(); i++) if (conf[mp[vec[i]]][indx]) return 0; return 1; } void backtrack(int indx_arr) { if (!valid(indx_arr)) return; if (indx_arr != -1) vec.push_back(arr[indx_arr]), no++; if (no > ansno) ansno = no, ans = vec; for (int i = indx_arr + 1; i < n; i++) backtrack(i); if (indx_arr != -1) vec.pop_back(), no--; } int main() { cin >> n >> k; for (int i = 0; i < n; i++) { cin >> arr[i]; mp[arr[i]] = i; } for (int i = 0; i < k; i++) { string x, y; cin >> x >> y; conf[mp[x]][mp[y]] = 1, conf[mp[y]][mp[x]] = 1; } backtrack(-1); cout << ans.size() << "\n"; sort(ans.begin(), ans.end()); for (int i = 0; i < (int)ans.size(); i++) cout << ans[i] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 16 + 5; string a[N], x, y; int n, m, M = -1; map<string, map<string, int> > mm; bool vis[N]; void dfs(int deep, int mod) { if (deep > n + 1) return; if (deep == n + 1) { int tot = 0, f = 1; for (int i = 1; i <= n; ++i) tot += vis[i]; for (int i = 1; i <= n; ++i) for (int j = i + 1; j <= n; ++j) if (vis[i] && vis[j]) if (mm[a[i]][a[j]]) { f = 0; break; } if (f) { if (mod) { int tot = 0; for (int i = 1; i <= n; ++i) tot += vis[i]; if (tot != M) return; printf("%d\n", M); string res[N]; for (int i = 1; i <= 17; ++i) res[i] = "0"; int pos = 1; for (int i = 1; i <= n; ++i) if (vis[i]) res[pos++] = a[i]; sort(res + 1, res + pos); pos = 1; while (res[pos] != "0") { cout << res[pos] << endl; pos++; } exit(0); } else if (mod == 0) M = max(M, tot); } } vis[deep] = true; dfs(deep + 1, mod); vis[deep] = false; dfs(deep + 1, mod); } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; ++i) cin >> a[i]; for (int i = 1; i <= m; ++i) { cin >> x >> y; mm[x][y] = mm[y][x] = 1; } dfs(1, 0); dfs(1, 1); return 0; }
#include <bits/stdc++.h> using namespace std; int n, adj[20][20], dp[20][1 << 17]; string names[20]; bool valid(int idx, int msk) { for (int i = 0; i < n; ++i) if ((msk & (1 << i)) && (adj[idx][i])) return 0; return 1; } int solve(int idx, int msk) { if (idx >= n) return 0; int& ret = dp[idx][msk]; if (ret != -1) return ret; ret = solve(idx + 1, msk); if (valid(idx, msk)) { ret = max(ret, solve(idx + 1, msk | (1 << idx)) + 1); } return ret; } void printAns(int idx, int msk) { if (idx >= n) return; if (valid(idx, msk) && solve(idx, msk) == solve(idx + 1, msk | (1 << idx)) + 1) { cout << names[idx] << endl; printAns(idx + 1, msk | (1 << idx)); } else { printAns(idx + 1, msk); } } int main() { int m, i; string s, t; map<string, int> mp; cin >> n >> m; for (i = 0; i < n; ++i) cin >> names[i]; sort(names, names + n); for (i = 0; i < n; ++i) mp[names[i]] = i; for (i = 0; i < m; ++i) { cin >> s >> t; adj[mp[s]][mp[t]] = 1; adj[mp[t]][mp[s]] = 1; } memset(dp, -1, sizeof(dp)); cout << solve(0, 0) << endl; printAns(0, 0); return 0; }
#include <bits/stdc++.h> using namespace std; int n; map<pair<int, string>, string> dp; vector<string> members; map<pair<string, string>, bool> hate; bool valid(string s, int ind) { for (int i = 0; i < ind; i++) if (s[i] == '1') { if (hate.count({members[ind], members[i]}) != 0) return false; } return true; } string solve(int ind, string team) { if (ind == n) return team; if (dp.count({ind, team}) != 0) return dp[{ind, team}]; if (valid(team, ind)) { string temp = team; temp[ind] = '1'; string s1 = solve(ind + 1, temp); string s2 = solve(ind + 1, team); return (count(s1.begin(), s1.end(), '1') > count(s2.begin(), s2.end(), '1')) ? s1 : s2; } else return dp[{ind, team}] = solve(ind + 1, team); } int main() { int h; cin >> n >> h; string s; for (int i = 0; i < n; i++) { cin >> s; members.push_back(s); } sort(members.begin(), members.end()); for (size_t i = 0; i < h; i++) { string s1, s2; cin >> s1 >> s2; hate[{s1, s2}] = true; hate[{s2, s1}] = true; } string team = ""; for (int i = 0; i < n; i++) team += '0'; string sol = solve(0, team); cout << count(sol.begin(), sol.end(), '1') << endl; for (int i = 0; i < sol.size(); i++) if (sol[i] == '1') cout << members[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long int mod = 1000 * 1000 * 1000 + 7; const double PI = 3.14159265358979323846264; const pair<long long int, long long int> steps[] = { {1, 0}, {0, 1}, {-1, 0}, {0, -1}, {1, -1}, {1, 1}, {-1, -1}, {-1, 1}}; template <typename... T> void read(T&... args) { ((cin >> args), ...); } template <typename... T> void write(T&&... args) { ((cout << args << " "), ...); } void fio() { ios_base::sync_with_stdio(false); cin.tie(NULL); } void setUpLocal() {} const long long int maxn = 20; long long int n, m; map<string, long long int> mp; map<long long int, string> revmp; long long int gp[maxn][maxn]; vector<long long int> ans; bool check(vector<long long int> v) { for (long long int i : v) for (long long int j : v) if (gp[i][j]) return false; return true; } bool comp(long long int i, long long int j) { return revmp[i] < revmp[j]; } void solve() { cin >> n >> m; long long int cnt = -1; long long int _n = n; while (_n--) { string s; cin >> s; mp[s] = ++cnt; revmp[cnt] = s; } string u, v; while (m--) { cin >> u >> v; gp[mp[u]][mp[v]] = 1; gp[mp[v]][mp[u]] = 1; } for (long long int i = 1; i < (1 << n); i++) { vector<long long int> v; for (long long int j = 0; j < n; j++) { if (((i) & (1 << (j)))) v.push_back(j); } if (v.size() > ans.size()) if (check(v)) ans = v; } cout << ans.size() << '\n'; sort(ans.begin(), ans.end(), comp); for (long long int i : ans) cout << revmp[i] << '\n'; } int32_t main() { fio(); setUpLocal(); return solve(), 0; }
#include <bits/stdc++.h> using namespace std; const char NL = '\n'; long long mod = 1000000007; void read(vector<long long> &a); inline void solve() { long long n, m; cin >> n >> m; map<string, long long> st; for (long long i = 0; i < n; i++) { string s; cin >> s; st[s] = i; } vector<pair<long long, long long>> hate(m); for (long long i = 0; i < m; i++) { string s, t; cin >> s >> t; hate[i] = {st[s], st[t]}; } long long ans = 0; vector<string> mxb; for (long long i = 0; i <= pow(2, n); i++) { bitset<16> te(i); bool valid = 1; for (auto [i, j] : hate) { if (te[i] == te[j] && te[i] == 1) valid = 0; } if (valid) { if (ans < te.count()) { mxb.clear(); ans = te.count(); for (long long i = 0; i < 16; i++) { if (te[i]) { for (auto [name, val] : st) { if (val == i) mxb.push_back(name); } } } } } } cout << ans << NL; sort(mxb.begin(), mxb.end()); for (string s : mxb) cout << s << NL; } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); solve(); fflush(stdin); fflush(stdout); return 0; } void read(vector<long long> &a) { for (auto &it : a) cin >> it; }
#include <bits/stdc++.h> using namespace std; const int N = 20; bool g[N][N]; int main(int argc, char *argv[]) { int n, m; cin >> n >> m; map<string, int> a; map<int, string> b; string s, t; for (int i = (0), _b = (n); i < (_b); ++i) { cin >> s; a[s] = i; b[i] = s; } for (int i = (0), _b = (n); i < (_b); ++i) for (int j = (i + 1), _b = (n); j < (_b); ++j) g[i][j] = g[j][i] = true; for (int i = (0), _b = (m); i < (_b); ++i) { cin >> s >> t; int x = a[s]; int y = a[t]; g[x][y] = g[y][x] = false; } set<string> ans; for (int x = 0; x < (1 << n); ++x) { set<string> tmp; for (int i = 0; i < n; ++i) { if ((1 << i) & x) { tmp.insert(b[i]); } } vector<string> v; for (typeof((tmp).begin()) it = (tmp).begin(); it != (tmp).end(); it++) v.push_back(*it); bool ok = true; for (int i = (0), _b = (v.size()); i < (_b); ++i) for (int j = (0), _b = (v.size()); j < (_b); ++j) { if (i == j) continue; int x = a[v[i]]; int y = a[v[j]]; if (!g[x][y]) { ok = false; break; } } if (ok) { if (tmp.size() > ans.size()) { ans.clear(); for (typeof((tmp).begin()) it = (tmp).begin(); it != (tmp).end(); it++) ans.insert(*it); } } } cout << ans.size() << endl; for (typeof((ans).begin()) it = (ans).begin(); it != (ans).end(); it++) cout << *it << endl; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> getMaxTeam(const vector<vector<bool>>& edges, const vector<int>& set, vector<vector<int>>* answer) { if (set.size() == 0) return (*answer)[0]; if (set.size() == 1) { (*answer)[1 << set[0]].push_back(set[0]); return set; } int index = 0; for (int i = 0; i < set.size(); ++i) index += 1 << set[i]; if ((*answer)[index].size() > 0) return (*answer)[index]; int x = set.back(); vector<int> set1 = set; set1.pop_back(); vector<int> team1 = getMaxTeam(edges, set1, answer); vector<int> set2; for (int i = 0; i < set.size() - 1; ++i) if (!edges[x][set[i]]) set2.push_back(set[i]); vector<int> team2 = getMaxTeam(edges, set2, answer); team2.push_back(x); if (team1.size() > team2.size()) { (*answer)[index] = team1; return team1; } else { (*answer)[index] = team2; return team2; } } int main() { int n, m; cin >> n >> m; vector<string> data(n); for (int i = 0; i < n; ++i) cin >> data[i]; vector<vector<bool>> edges(n, vector<bool>(n, false)); for (int i = 0; i < m; ++i) { string s1, s2; cin >> s1 >> s2; for (int j = 0; j < n; ++j) for (int k = 0; k < n; ++k) { if ((s1 == data[j]) && (s2 == data[k])) edges[j][k] = edges[k][j] = true; } } vector<int> set; for (int i = 0; i < n; ++i) set.push_back(i); vector<vector<int>> answer(1 << n); vector<int> maxTeam = getMaxTeam(edges, set, &answer); cout << maxTeam.size() << endl; vector<string> team; for (int i = 0; i < maxTeam.size(); ++i) team.push_back(data[maxTeam[i]]); sort(team.begin(), team.end()); for (int i = 0; i < team.size(); ++i) cout << team[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-10; const int inf = (int)1e9; map<string, int> mm; const int maxn = 110; int a[maxn][maxn]; int bc[maxn * maxn * 10]; string ss[maxn]; int main() { int n, m; cin >> n >> m; string s; for (int i = 0; i < n; i++) { cin >> s; ss[i] = s; mm[s] = i; } string s1, s2; for (int i = 0; i < m; i++) { cin >> s1 >> s2; a[mm[s1]][mm[s2]] = 1; a[mm[s2]][mm[s1]] = 1; } for (int i = 1; i < (1 << n); i++) bc[i] = bc[i >> 1] + (i & 1); int res = 0, resm = 0; for (int i = 1; i < (1 << n); i++) { vector<int> v; for (int j = 0; j < n; j++) if ((i >> j) & 1) v.push_back(j); int good = 1; for (int i1 = 0; i1 < ((int)(v).size()) && good; i1++) for (int i2 = 0; i2 < ((int)(v).size()) && good; i2++) if (a[v[i1]][v[i2]]) good = 0; if (good && bc[i] > res) res = bc[i], resm = i; } cout << res << endl; vector<string> vs; for (int i = 0; i < n; i++) if ((resm >> i) & 1) vs.push_back(ss[i]); sort(vs.begin(), vs.end()); for (int i = 0; i < ((int)(vs).size()); i++) cout << vs[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; bool ok(vector<string> &s, set<pair<string, string> > &st) { int n = s.size(); for (int i = 0; i < n; i++) for (int j = i + 1; j < n; j++) if (st.find(make_pair(s[i], s[j])) != st.end()) return false; return true; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; vector<string> v(n); for (int i = 0; i < n; i++) cin >> v[i]; set<pair<string, string> > st; for (int i = 0; i < m; i++) { string a, b; cin >> a >> b; st.insert(make_pair(a, b)); st.insert(make_pair(b, a)); } sort(v.begin(), v.end()); int val = 0; vector<string> ret; for (int bt = 0; bt < (1 << n); bt++) { vector<string> cur; for (int i = 0; i < n; i++) if (bt & (1 << i)) cur.push_back(v[i]); if (ok(cur, st)) { int sz = cur.size(); if (val < sz) { val = sz; ret = cur; } } } cout << val << endl; for (int i = 0; i < val; i++) cout << ret[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int a[30][30] = {}; int m, n; bool ok(int tt) { int i, j; for (i = 0; i < n; i++) for (j = i + 1; j < n; j++) if (((1 << i & tt) > 0) && ((1 << j & tt) > 0)) { if (a[i][j] == 1) { return 0; } } return 1; } int countbit(int tt) { int i, c = 0; for (i = 0; i < n; i++) if (((1 << i) & tt) > 0) c++; return c; } int main() { map<string, int> num; string name[15], n1, n2; int i, j, k; cin >> n >> m; for (i = 0; i < n; i++) { cin >> name[i]; num[name[i]] = i; } for (i = 0; i < m; i++) { cin >> n2 >> n1; a[num[n1]][num[n2]] = 1; a[num[n2]][num[n1]] = 1; } int res = 0; for (i = 0; i < (1 << n); i++) { if (ok(i) && (countbit(i) > countbit(res))) { res = i; } } string tmp; cout << countbit(res) << "\n"; for (i = 0; i < n; i++) for (j = i + 1; j < n; j++) if (((1 << i & res) > 0) && ((1 << j & res) > 0)) if (name[j] < name[i]) { tmp = name[i]; name[i] = name[j]; name[j] = tmp; } for (i = 0; i < n; i++) if ((1 << i & res) > 0) cout << name[i] << "\n"; }
#include <bits/stdc++.h> using namespace std; int n, m, con, ans; bool w[17][17]; string a[17], s[17], ts[17]; int ns[17]; int main() { int i, j, k; string t, u, v; int nu, nv, cnt; bool sign; cin >> n >> m; for (i = 1; i <= n; ++i) cin >> a[i]; for (i = 1; i < n; ++i) for (j = i + 1; j <= n; ++j) if (a[i] > a[j]) { t = a[i]; a[i] = a[j]; a[j] = t; } for (i = 1; i <= m; ++i) { cin >> u >> v; for (j = 1; j <= n; ++j) if (u == a[j]) { nu = j; break; } for (j = 1; j <= n; ++j) if (v == a[j]) { nv = j; break; } w[nu][nv] = true; w[nv][nu] = true; } con = (1 << n) + 1; for (i = 1; i <= con; ++i) { cnt = 0; for (j = 0; j < n; ++j) { if ((i >> j) & 1 == 1) { sign = true; if (cnt > 0) for (k = 1; k <= cnt; ++k) if (w[ns[k]][j + 1] == true) { sign = false; break; } if (not sign) break; ns[++cnt] = j + 1; } } if (cnt > ans) { ans = cnt; for (j = 1; j <= cnt; ++j) s[j] = a[ns[j]]; } } for (i = 1; i < ans; ++i) for (j = i + 1; j <= ans; ++j) if (s[i] > s[j]) { t = s[i]; s[j] = s[i]; s[i] = t; } cout << ans << "\n"; for (i = 1; i <= ans; ++i) cout << s[i] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; string s[20], s0, s1, ans[20]; int g[20][20], ANS, n, tp[20]; void dfs(int now, int end, int cnt) { if (now == end) { for (int i = 0; i < cnt; i++) for (int j = i + 1; j < cnt; j++) if (g[tp[i]][tp[j]]) return; if (cnt > ANS) { ANS = cnt; for (int i = 0; i < cnt; i++) ans[i] = s[tp[i]]; } return; } tp[cnt] = now; dfs(now + 1, end, cnt + 1); dfs(now + 1, end, cnt); } int find(string x) { for (int i = 0; i < n - 1; i++) if (x == s[i]) return i; return n - 1; } int main() { int m; while (scanf("%d%d", &n, &m) == 2) { for (int i = 0; i < n; i++) cin >> s[i]; memset(g, 0, sizeof(g)); for (int i = 0; i < m; i++) { cin >> s0 >> s1; int id1 = find(s0); int id2 = find(s1); g[id1][id2] = g[id2][id1] = 1; } ANS = 0; dfs(0, n, 0); printf("%d\n", ANS); sort(ans, ans + ANS); for (int i = 0; i < ANS; i++) printf("%s\n", ans[i].c_str()); } return 0; }
#include <bits/stdc++.h> using namespace std; vector<long long int> v; map<long long int, long long int> m1; set<long long int> st; long long int fep(long long int x, long long int y, long long int mod) { long long int res = 1; while (y > 0) { if (y & 1) res = (res * x) % mod; y = y >> 1; x = (x * x) % mod; } return res % mod; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long int n, i, m, j, k, x, y, a, b, p, sm = 0; string s; cin >> n >> p >> k; for (i = 0; i < n; i++) { cin >> x; a = (x * x) % p; a = (a * a) % p; a -= (k * x) % p; a = (a + p) % p; st.insert(a); m1[a]++; } set<long long int>::iterator it; for (it = st.begin(); it != st.end(); it++) { x = m1[*it]; sm += (x * (x - 1)) / 2; } cout << sm; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 7; const int MOD = 1e9 + 7; const int MAXN = 1e6 + 3; map<long long, long long> myp; long long p; long long gcd(long long a, long long b) { if (b == 0) return a; else return gcd(b, a % b); } long long power(long long x, long long y) { long long res = 1; while (y > 0) { if (y & 1) res = res * x; y = y >> 1; x = x * x; } return res; } long long sub(long long x, long long y) { long long ans = x - y; if (ans < 0) ans = ans + p; return ans; } long long mult(long long x, long long y) { return ((x % p) * (y % p)) % p; } long long pw4(long long x) { return mult(mult(x, x), mult(x, x)); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long n, k; cin >> n >> p >> k; long long ans = 0; for (long long i = 0; i < (n); ++i) { long long val; cin >> val; val = sub(pw4(val), mult(k, val)); ans += myp[val]; myp[val]++; } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int sz = 1e5 + 10, mod = 1e9 + 7; int p; int power(int a, int n) { if (n == 0) return 1; long long x = power(a, n / 2) % p; x = (x * x) % p; if (n & 1) return (x * a) % p; return x; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, k, i, x; long long res = 0; cin >> n >> p >> k; unordered_map<int, int> mp; for (i = 0; i < n; i++) { cin >> x; x = (power(x, 4) - (1LL * k * x) % p + p) % p; mp[x]++; } for (auto y : mp) { res += 1LL * y.second * (y.second - 1) / 2; } cout << res; }
#include <bits/stdc++.h> using namespace std; long long n, p, k, a[100001], x, ans; unordered_map<long long, long long> mp; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> p >> k; for (int i = 1; i <= n; i++) { cin >> x; mp[(((x * x) % p * ((x * x) % p)) % p + p * p - k * x) % p]++; } for (auto it : mp) { ans += it.second * (it.second - 1) / 2; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int n, p, k, ans, a[300010], t; unordered_map<int, int> hp; unordered_map<int, pair<int, int> > ph; int cal(int x) { long long t = (((1LL * x * x) % p) * ((1LL * x * x) % p)) % p; t = (t - 1LL * x * k) % p; t = (t % p + p) % p; return t; } void readf() { cin >> n >> p >> k; } void solve() { for (int i = (1); i <= (n); ++i) cin >> a[i]; for (int i = (1); i <= (n); ++i) { ans += hp[cal(a[i])]; hp[cal(a[i])]++; } for (int i = (1); i <= (n); ++i) { if (ph[a[i]].second == 1) t += ph[cal(a[i])].first; else ph[a[i]].second = 1; ph[cal(a[i])].first++; } cout << ans - t; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); readf(); solve(); }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } long long lcm(long long a, long long b) { return a / gcd(a, b) * b; } long long powmod(long long a, long long b, long long MOD) { long long ans = 1; while (b) { if (b % 2) ans = ans * a % MOD; a = a * a % MOD; b /= 2; } return ans; } const int N = 3e5 + 11; map<int, int> vis; int n, k, p, a[N]; long long ans; int g(int x) { return (1ll * x * x % p * x % p * x % p - 1ll * k * x % p + 10ll * p) % p; } int main() { ios::sync_with_stdio(false); cin >> n >> p >> k; for (int i = 1; i <= n; i++) cin >> a[i]; for (int i = 1; i <= n; i++) { ans += vis[g(a[i])]; vis[g(a[i])]++; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; map<int, int> mp; int main() { int n, p, k; cin >> n >> p >> k; long long ans = 0; for (int i = 1, x; i <= n; i++) { scanf("%d", &x); int t = ((long long)x * x % p * x % p * x % p - (long long)k * x % p + p) % p; ans += mp[t]; mp[t]++; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; void solve() { long long n, p, k; cin >> n >> p >> k; vector<long long> v(n); for (long long &i : v) cin >> i; map<pair<long long, long long>, long long> mapp; long long curr = 1e9; for (long long i : v) { long long cur = i * i % p * i % p * i; cur = (cur - k * i + curr * p) % p; mapp[{cur, i}]++; } map<long long, pair<long long, long long> > temp; for (auto u : mapp) { temp[u.first.first].first += 1ll * u.second; temp[u.first.first].second += 1ll * u.second * u.second; } long long ans = 0; for (auto u : temp) { ans += 1ll * u.second.first * u.second.first - u.second.second; } cout << ans / 2; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); solve(); }
#include <bits/stdc++.h> using namespace std; int cal(int inp, int p, int k) { long long int cal = ((long long int)(inp % p) * (long long int)(inp % p)) % p; cal = (cal * cal) % p; cal -= ((long long int)k * inp) % p; if (cal < 0) cal += p; return (int)cal; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); ; int n, p, k; cin >> n >> p >> k; int inp; map<int, int> out; for (int i = 0; i < n; i++) { cin >> inp; out[cal(inp, p, k)]++; } long long int ans = 0; for (pair<int, int> f : out) { ans += ((long long int)f.second * (f.second - 1)) / 2; } cout << ans << '\n'; }
#include <bits/stdc++.h> using namespace std; mt19937 rng(chrono::system_clock::now().time_since_epoch().count()); long long getVal(long long x, long long rem, long long mod) { long long val = x; val = (val * x) % mod; val = (val * x) % mod; val = (val * x) % mod; val -= (rem * x) % mod; val += mod; val %= mod; return val; } int main() { long long n, p, k; scanf("%lld %lld %lld", &n, &p, &k); map<int, int> cnt; long long arr[n + 5]; for (int i = 1; i <= n; i++) { scanf("%lld", &arr[i]); arr[i] = getVal(arr[i], k, p); cnt[arr[i]]++; } long long res = 0; for (auto it = cnt.begin(); it != cnt.end(); it++) { long long now = it->first; long long have = it->second; res += ((have) * (have - 1LL)) / 2LL; } printf("%lld\n", res); return 0; }
#include <bits/stdc++.h> using namespace std; unordered_map<long long, long long> mp; int main() { long long n, p, k; cin >> n >> p >> k; for (int i = 1; i <= n; i++) { long long x; cin >> x; mp[(((x * x % p) * (x * x % p) - k * x % p) % p + p) % p]++; } long long ans = 0; for (auto it = mp.begin(); it != mp.end(); it++) { ans += (it->second - 1ll) * (it->second) / 2; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; int n; long long p; long long k; map<long long, long long> d; long long kq; int main() { scanf("%d%lld%lld", &n, &p, &k); for (int i = 1; i <= n; i++) { long long x; scanf("%lld", &x); x = ((x * x % p * x % p * x % p - (x * k % p)) + p) % p; kq += d[x]; d[x]++; } cout << kq; return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m, k, p, ans, l, r, i, j, k1, k0, a[100001]; map<long long, long long> t; string s; int main() { cin >> n >> p >> k; for (int i = 0; i < n; i++) { long long v; cin >> v; long long o = ((v * v % p * v % p * v % p - k * v) % p + p) % p; ans += t[o]; t[o]++; ; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; map<long long int, long long int> m; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long int n, p, k, res = 0; cin >> n >> p >> k; for (long long int i = 0; i < n; i++) { long long int x, y = 1; cin >> x; for (long long int j = 0; j < 4; j++) { y *= x; y %= p; } y -= (k * x) % p; y %= p; if (y < 0) y += p; if (m.find(y) == m.end()) m.insert({y, 0}); m[y]++; } for (auto it = m.begin(); it != m.end(); it++) res += (it->second) * (it->second - 1) / 2; cout << res; }
#include <bits/stdc++.h> using namespace std; int main() { map<long long, long long> store; long long n, p, k, result = 0; cin >> n >> p >> k; vector<long long> list(n); for (int i = 0; i < n; i++) cin >> list[i]; for (auto el : list) store[((((el * el) % p) * ((el * el) % p)) % p - (k * el) % p + p) % p] = 0; for (auto el : list) { result += store[((((el * el) % p) * ((el * el) % p)) % p - (k * el) % p + p) % p]; store[((((el * el) % p) * ((el * el) % p)) % p - (k * el) % p + p) % p]++; } cout << result << endl; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k, p, i; long long inp, temp; scanf("%d %d %d", &n, &p, &k); int a[n]; for (i = 0; i < n; i++) { scanf("%I64d", &inp); temp = inp; temp = (temp * temp) % p; temp = (temp * temp) % p; temp = ((temp - inp * k) % p + p) % p; a[i] = (int)temp; } sort(a, a + n); long long ans = 0; int cnt = 1; for (i = 1; i < n; i++) { if (a[i] == a[i - 1]) { ans = ans + cnt; cnt++; } else { cnt = 1; } } printf("%I64d", ans); return 0; }
#include <bits/stdc++.h> using namespace std; #pragma GCC optimize("-Ofast") const int N = 1e5 + 5; const int mod = 1e9 + 7; long long int modexp(long long int a, long long int b, long long int mod) { long long int x = 1; while (b) { if (b & 1) x = ((x % mod) * (a % mod)) % mod; a = ((a % mod) * (a % mod)) % mod; b = b / 2; } return x; } void rf() {} void solve() { long long int n, p, k; cin >> n >> p >> k; vector<long long int> a(n); for (long long int i = 0; i < n; ++i) cin >> a[i]; map<long long int, long long int> mp; long long int ans = 0; for (int i = 0; i < n; ++i) { long long int pw4 = modexp(a[i], 4, p); long long int cur = (pw4 - (k * a[i]) % p) % p; if (cur < 0) cur += p; if (mp.find(cur) != mp.end()) ans += mp[cur]; mp[cur]++; } cout << ans << "\n"; } int32_t main() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int t = 1; while (t--) { solve(); } }
#include <bits/stdc++.h> using namespace std; const int maxn = 3e5 + 5; int mod; long long qpow(long long a, long long b) { long long ans = 1; a %= mod; assert(b >= 0); for (; b; b >>= 1) { if (b & 1) ans = ans * a % mod; a = a * a % mod; } return ans; } long long gcd(long long a, long long b) { return b > 0 ? gcd(b, a % b) : a; } long long a[maxn]; map<long long, int> M; map<long long, int> mm; int main() { int n, m, T, p, k; cin >> n >> p >> k; for (int i = 1; i <= n; i++) cin >> a[i]; mod = p; long long ans = 0; if (k == 0) { for (int i = 1; i <= n; i++) { int x = p - qpow(a[i], 2), y = p - a[i]; ans = (ans + M[y]) % mod; ans = (ans + mm[x]) % mod; if (2ll * a[i] % mod * a[i] % mod == 0) { ans = ((ans - M[y]) % mod + mod) % mod; } M[a[i]]++; mm[a[i] * a[i] % mod]++; } } else { for (int i = 1; i <= n; i++) { long long temp = ((qpow(a[i], 4) - 1ll * k * a[i] % mod) % mod + mod) % mod; ans = (ans + M[temp]) % mod; M[temp]++; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; void read(int &val) { int x = 0; int bz = 1; char c; for (c = getchar(); (c < '0' || c > '9') && c != '-'; c = getchar()) ; if (c == '-') { bz = -1; c = getchar(); } for (; c >= '0' && c <= '9'; c = getchar()) x = x * 10 + c - 48; val = x * bz; } const int INF = 0x3f3f3f3f; const int maxn = 1e6 + 10; const int mod = 1e9 + 7; int n, m, a[maxn]; unordered_map<long long, long long> mp; int main() { int k; read(n); read(m); read(k); for (int i = 1; i <= n; i++) read(a[i]); for (int i = 1; i <= n; i++) { long long res = 1LL * a[i] * a[i] % m * a[i] % m * a[i] % m; res = (res - 1LL * k * a[i] % m) % m + m; res %= m; mp[res]++; } long long ans = 0; for (auto to : mp) { long long num = to.second; if (num <= 1) continue; ans += (num * (num - 1)) / 2; } printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int calc(int p, int k, int a) { long long ans = a; ans = ans * ans; ans %= p; ans = ans * ans; ans %= p; ans -= ((long long)(k)*a); ans %= p; if (ans < 0) ans += p; ans %= p; return (int)ans; } int main() { int n, p, k; cin >> n >> p >> k; vector<int> A(n); for (int& x : A) cin >> x; for (int& x : A) x = calc(p, k, x); sort(A.begin(), A.end()); A.push_back(-1); A.push_back(-2); int cnt = 1; int ans = 0; for (int i = 1; i < A.size(); i++) { if (A[i] == A[i - 1]) cnt++; else { ans += cnt * (cnt - 1) / 2; cnt = 1; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int Maxn = 3e5; int N; long long P, K; map<long long, int> cnt; int main() { scanf("%d %lld %lld", &N, &P, &K); long long ans = 0; for (int i = 1; i <= N; i++) { long long x; scanf("%lld", &x); ans += cnt[((x * x % P) * (x * x % P) - K * x % P + P) % P]; cnt[((x * x % P) * (x * x % P) - K * x % P + P) % P]++; } printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 5e5 + 5; const int MOD = 1e9 + 7; long long a[N]; map<long long, int> cnt; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); long long n, p, k; cin >> n >> p >> k; for (int i = 0; i < n; ++i) { cin >> a[i]; long long d = a[i]; d *= a[i]; d %= p; d *= a[i]; d %= p; d *= a[i]; d %= p; d -= (k * a[i]) % p; d += p; d %= p; a[i] = d; cnt[d]++; } long long ans = 0; for (int i = 0; i < n; ++i) { ans += cnt[a[i]] - 1; } cout << ans / 2; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3e5 + 5; long long n, p, k, x, ans; unordered_map<int, int> cnt; int main() { scanf("%lld%lld%lld", &n, &p, &k); for (int i = 0; i < n; ++i) { scanf("%lld", &x); int key = ((k * x % p - x * x % p * x % p * x % p) % p + p) % p; ans += cnt[key]++; } printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int32_t main() { long long n, p, k; cin >> n >> p >> k; long long a[n]; for (long long i = 0; i < n; i++) cin >> a[i]; vector<long long> v; for (long long i = 0; i < n; i++) { long long y = a[i]; y *= a[i]; y %= p; y *= a[i]; y %= p; y *= a[i]; y %= p; y -= (a[i] * k) % p; y += p; y %= p; v.push_back(y); } sort(v.begin(), v.end()); long long id = v[0]; long long cnt = 0; long long ans = 0; for (long long i = 0; i < v.size(); i++) { if (v[i] == id) { cnt++; } else { ans += ((cnt - 1) * cnt) / 2; cnt = 1; id = v[i]; } } ans += ((cnt - 1) * cnt) / 2; return cout << ans, 0; }
#include <bits/stdc++.h> using namespace std; struct ms { long long x; int k; ms(long long x, int k) : x(x), k(k){}; bool operator<(const ms &a) const { return x < a.x; } }; int main() { int n; long long p, k; cin >> n >> p >> k; set<ms> a; vector<long long> v; int t = 0; for (int i = 0; i < n; i++) { long long x, y; cin >> x; y = x * x % p * x % p - k; if (y < 0) y += p; y = y * x % p; ms m(y, t); auto e = a.find(m); if (e == a.end()) { a.insert(m); t++; v.push_back(1); } else { v[e->k]++; } } long long ans = 0; for (auto c : v) ans += c * (c - 1) / 2; cout << ans; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; long long n, p, k; map<long long, int> mp; int main() { while (~scanf("%I64d%I64d%I64d", &n, &p, &k)) { mp.clear(); long long ans = 0LL; for (int i = 1; i <= n; i++) { long long ai; scanf("%I64d", &ai); long long ai4 = ai * ai % p * ai % p * ai % p; long long a = (ai4 - ai * k % p + p) % p; ans += mp[a]++; } printf("%I64d\n", ans); } return 0; }